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Finding the Fourth Proportional to 5,913.76, 8,862.24 and 4,675.68

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Solution

The fourth proportional to 5,913.76, 8,862.24 and 4,675.68 is: 7,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.76 : 8,862.24 = 4,675.68 : x
  2. Step 2: Convert to fraction form
    5,913.76/8,862.24 = 4,675.68/x
  3. Step 3: Cross multiply
    5,913.76x = 8,862.24 × 4,675.68
  4. Step 4: Simplify right side
    5,913.76x = 41,436,998.32
  5. Step 5: Solve for x
    x = 41,436,998.32/5,913.76
  6. Step 6: Final answer
    x = 7,006.88

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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.