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Finding the Fourth Proportional to 6,037.12, 8,318.46 and 4,462.48

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Solution

The fourth proportional to 6,037.12, 8,318.46 and 4,462.48 is: 6,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.12 : 8,318.46 = 4,462.48 : x
  2. Step 2: Convert to fraction form
    6,037.12/8,318.46 = 4,462.48/x
  3. Step 3: Cross multiply
    6,037.12x = 8,318.46 × 4,462.48
  4. Step 4: Simplify right side
    6,037.12x = 37,120,961.38
  5. Step 5: Solve for x
    x = 37,120,961.38/6,037.12
  6. Step 6: Final answer
    x = 6,148.79

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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.