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Finding the Fourth Proportional to 5,395,743.40, 8,093,615.10 and 1,406,655.40

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Solution

The fourth proportional to 5,395,743.40, 8,093,615.10 and 1,406,655.40 is: 2,109,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395,743.40 : 8,093,615.10 = 1,406,655.40 : x
  2. Step 2: Convert to fraction form
    5,395,743.40/8,093,615.10 = 1,406,655.40/x
  3. Step 3: Cross multiply
    5,395,743.40x = 8,093,615.10 × 1,406,655.40
  4. Step 4: Simplify right side
    5,395,743.40x = 11,384,927,385,936.54
  5. Step 5: Solve for x
    x = 11,384,927,385,936.54/5,395,743.40
  6. Step 6: Final answer
    x = 2,109,983.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.