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Finding the Fourth Proportional to 3,695.47, 5,542 and 1,229.63

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Solution

The fourth proportional to 3,695.47, 5,542 and 1,229.63 is: 1,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.47 : 5,542 = 1,229.63 : x
  2. Step 2: Convert to fraction form
    3,695.47/5,542 = 1,229.63/x
  3. Step 3: Cross multiply
    3,695.47x = 5,542 × 1,229.63
  4. Step 4: Simplify right side
    3,695.47x = 6,814,609.46
  5. Step 5: Solve for x
    x = 6,814,609.46/3,695.47
  6. Step 6: Final answer
    x = 1,844.04

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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.