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Finding the Fourth Proportional to 3,547.43, 5,284.72 and 3,387.50

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Solution

The fourth proportional to 3,547.43, 5,284.72 and 3,387.50 is: 5,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.43 : 5,284.72 = 3,387.50 : x
  2. Step 2: Convert to fraction form
    3,547.43/5,284.72 = 3,387.50/x
  3. Step 3: Cross multiply
    3,547.43x = 5,284.72 × 3,387.50
  4. Step 4: Simplify right side
    3,547.43x = 17,901,954.11
  5. Step 5: Solve for x
    x = 17,901,954.11/3,547.43
  6. Step 6: Final answer
    x = 5,046.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.