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Finding the Fourth Proportional to 3,597, 5,395.68 and 3,407.64

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Solution

The fourth proportional to 3,597, 5,395.68 and 3,407.64 is: 5,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597 : 5,395.68 = 3,407.64 : x
  2. Step 2: Convert to fraction form
    3,597/5,395.68 = 3,407.64/x
  3. Step 3: Cross multiply
    3,597x = 5,395.68 × 3,407.64
  4. Step 4: Simplify right side
    3,597x = 18,386,535.00
  5. Step 5: Solve for x
    x = 18,386,535.00/3,597
  6. Step 6: Final answer
    x = 5,111.63

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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.