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Finding the Fourth Proportional to 4,342.68, 6,508.89 and 1,567.89

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Solution

The fourth proportional to 4,342.68, 6,508.89 and 1,567.89 is: 2,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.68 : 6,508.89 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    4,342.68/6,508.89 = 1,567.89/x
  3. Step 3: Cross multiply
    4,342.68x = 6,508.89 × 1,567.89
  4. Step 4: Simplify right side
    4,342.68x = 10,205,223.54
  5. Step 5: Solve for x
    x = 10,205,223.54/4,342.68
  6. Step 6: Final answer
    x = 2,349.98

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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.