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Finding the Fourth Proportional to 3,597.92, 4,962.67 and 2,537.93

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Solution

The fourth proportional to 3,597.92, 4,962.67 and 2,537.93 is: 3,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.92 : 4,962.67 = 2,537.93 : x
  2. Step 2: Convert to fraction form
    3,597.92/4,962.67 = 2,537.93/x
  3. Step 3: Cross multiply
    3,597.92x = 4,962.67 × 2,537.93
  4. Step 4: Simplify right side
    3,597.92x = 12,594,915.13
  5. Step 5: Solve for x
    x = 12,594,915.13/3,597.92
  6. Step 6: Final answer
    x = 3,500.61

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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.