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Finding the Fourth Proportional to 3,695.46, 5,538.62 and 1,743.57

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Solution

The fourth proportional to 3,695.46, 5,538.62 and 1,743.57 is: 2,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.46 : 5,538.62 = 1,743.57 : x
  2. Step 2: Convert to fraction form
    3,695.46/5,538.62 = 1,743.57/x
  3. Step 3: Cross multiply
    3,695.46x = 5,538.62 × 1,743.57
  4. Step 4: Simplify right side
    3,695.46x = 9,656,962.96
  5. Step 5: Solve for x
    x = 9,656,962.96/3,695.46
  6. Step 6: Final answer
    x = 2,613.20

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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.