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Finding the Fourth Proportional to 3,737.52, 5,157.54 and 2,245.50

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Solution

The fourth proportional to 3,737.52, 5,157.54 and 2,245.50 is: 3,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.52 : 5,157.54 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    3,737.52/5,157.54 = 2,245.50/x
  3. Step 3: Cross multiply
    3,737.52x = 5,157.54 × 2,245.50
  4. Step 4: Simplify right side
    3,737.52x = 11,581,256.07
  5. Step 5: Solve for x
    x = 11,581,256.07/3,737.52
  6. Step 6: Final answer
    x = 3,098.65

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Why These Related Problems?

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