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Finding the Fourth Proportional to 3,857,271.84, 5,786,296.56 and 1,017,580.32

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Solution

The fourth proportional to 3,857,271.84, 5,786,296.56 and 1,017,580.32 is: 1,526,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,271.84 : 5,786,296.56 = 1,017,580.32 : x
  2. Step 2: Convert to fraction form
    3,857,271.84/5,786,296.56 = 1,017,580.32/x
  3. Step 3: Cross multiply
    3,857,271.84x = 5,786,296.56 × 1,017,580.32
  4. Step 4: Simplify right side
    3,857,271.84x = 5,888,021,505,139.70
  5. Step 5: Solve for x
    x = 5,888,021,505,139.70/3,857,271.84
  6. Step 6: Final answer
    x = 1,526,473.05

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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.