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Finding the Fourth Proportional to 3,538.71, 5,308.17 and 1,690.02

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Solution

The fourth proportional to 3,538.71, 5,308.17 and 1,690.02 is: 2,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.71 : 5,308.17 = 1,690.02 : x
  2. Step 2: Convert to fraction form
    3,538.71/5,308.17 = 1,690.02/x
  3. Step 3: Cross multiply
    3,538.71x = 5,308.17 × 1,690.02
  4. Step 4: Simplify right side
    3,538.71x = 8,970,913.46
  5. Step 5: Solve for x
    x = 8,970,913.46/3,538.71
  6. Step 6: Final answer
    x = 2,535.08

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