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Finding the Fourth Proportional to 3,730, 5,562.04 and 3,462.16

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Solution

The fourth proportional to 3,730, 5,562.04 and 3,462.16 is: 5,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 5,562.04 = 3,462.16 : x
  2. Step 2: Convert to fraction form
    3,730/5,562.04 = 3,462.16/x
  3. Step 3: Cross multiply
    3,730x = 5,562.04 × 3,462.16
  4. Step 4: Simplify right side
    3,730x = 19,256,672.41
  5. Step 5: Solve for x
    x = 19,256,672.41/3,730
  6. Step 6: Final answer
    x = 5,162.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.