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Finding the Fourth Proportional to 3,547.17, 4,884.52 and 3,468.50

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Solution

The fourth proportional to 3,547.17, 4,884.52 and 3,468.50 is: 4,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.17 : 4,884.52 = 3,468.50 : x
  2. Step 2: Convert to fraction form
    3,547.17/4,884.52 = 3,468.50/x
  3. Step 3: Cross multiply
    3,547.17x = 4,884.52 × 3,468.50
  4. Step 4: Simplify right side
    3,547.17x = 16,941,957.62
  5. Step 5: Solve for x
    x = 16,941,957.62/3,547.17
  6. Step 6: Final answer
    x = 4,776.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.