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Finding the Fourth Proportional to 3,747.34, 5,624.19 and 2,516.24

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Solution

The fourth proportional to 3,747.34, 5,624.19 and 2,516.24 is: 3,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.34 : 5,624.19 = 2,516.24 : x
  2. Step 2: Convert to fraction form
    3,747.34/5,624.19 = 2,516.24/x
  3. Step 3: Cross multiply
    3,747.34x = 5,624.19 × 2,516.24
  4. Step 4: Simplify right side
    3,747.34x = 14,151,825.91
  5. Step 5: Solve for x
    x = 14,151,825.91/3,747.34
  6. Step 6: Final answer
    x = 3,776.50

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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.