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Finding the Fourth Proportional to 4,162.62, 6,240.29 and 1,567.38

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Solution

The fourth proportional to 4,162.62, 6,240.29 and 1,567.38 is: 2,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.62 : 6,240.29 = 1,567.38 : x
  2. Step 2: Convert to fraction form
    4,162.62/6,240.29 = 1,567.38/x
  3. Step 3: Cross multiply
    4,162.62x = 6,240.29 × 1,567.38
  4. Step 4: Simplify right side
    4,162.62x = 9,780,927.18
  5. Step 5: Solve for x
    x = 9,780,927.18/4,162.62
  6. Step 6: Final answer
    x = 2,349.70

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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.