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Finding the Fourth Proportional to 5,601.72, 8,404.02 and 2,523

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Solution

The fourth proportional to 5,601.72, 8,404.02 and 2,523 is: 3,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.72 : 8,404.02 = 2,523 : x
  2. Step 2: Convert to fraction form
    5,601.72/8,404.02 = 2,523/x
  3. Step 3: Cross multiply
    5,601.72x = 8,404.02 × 2,523
  4. Step 4: Simplify right side
    5,601.72x = 21,203,342.46
  5. Step 5: Solve for x
    x = 21,203,342.46/5,601.72
  6. Step 6: Final answer
    x = 3,785.15

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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.