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Finding the Fourth Proportional to 3,753.91, 5,636 and 2,363.14

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Solution

The fourth proportional to 3,753.91, 5,636 and 2,363.14 is: 3,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.91 : 5,636 = 2,363.14 : x
  2. Step 2: Convert to fraction form
    3,753.91/5,636 = 2,363.14/x
  3. Step 3: Cross multiply
    3,753.91x = 5,636 × 2,363.14
  4. Step 4: Simplify right side
    3,753.91x = 13,318,657.04
  5. Step 5: Solve for x
    x = 13,318,657.04/3,753.91
  6. Step 6: Final answer
    x = 3,547.94

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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.