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Finding the Fourth Proportional to 5,679.68, 8,553 and 4,957.76

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Solution

The fourth proportional to 5,679.68, 8,553 and 4,957.76 is: 7,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.68 : 8,553 = 4,957.76 : x
  2. Step 2: Convert to fraction form
    5,679.68/8,553 = 4,957.76/x
  3. Step 3: Cross multiply
    5,679.68x = 8,553 × 4,957.76
  4. Step 4: Simplify right side
    5,679.68x = 42,403,721.28
  5. Step 5: Solve for x
    x = 42,403,721.28/5,679.68
  6. Step 6: Final answer
    x = 7,465.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.