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Finding the Fourth Proportional to 3,547.52, 5,324.52 and 2,723.12

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Solution

The fourth proportional to 3,547.52, 5,324.52 and 2,723.12 is: 4,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.52 : 5,324.52 = 2,723.12 : x
  2. Step 2: Convert to fraction form
    3,547.52/5,324.52 = 2,723.12/x
  3. Step 3: Cross multiply
    3,547.52x = 5,324.52 × 2,723.12
  4. Step 4: Simplify right side
    3,547.52x = 14,499,306.90
  5. Step 5: Solve for x
    x = 14,499,306.90/3,547.52
  6. Step 6: Final answer
    x = 4,087.17

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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.