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Finding the Fourth Proportional to 4,876.92, 7,317 and 3,239.91

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Solution

The fourth proportional to 4,876.92, 7,317 and 3,239.91 is: 4,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.92 : 7,317 = 3,239.91 : x
  2. Step 2: Convert to fraction form
    4,876.92/7,317 = 3,239.91/x
  3. Step 3: Cross multiply
    4,876.92x = 7,317 × 3,239.91
  4. Step 4: Simplify right side
    4,876.92x = 23,706,421.47
  5. Step 5: Solve for x
    x = 23,706,421.47/4,876.92
  6. Step 6: Final answer
    x = 4,860.94

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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.