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Finding the Fourth Proportional to 5,123.84, 7,679.52 and 2,657.30

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Solution

The fourth proportional to 5,123.84, 7,679.52 and 2,657.30 is: 3,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.84 : 7,679.52 = 2,657.30 : x
  2. Step 2: Convert to fraction form
    5,123.84/7,679.52 = 2,657.30/x
  3. Step 3: Cross multiply
    5,123.84x = 7,679.52 × 2,657.30
  4. Step 4: Simplify right side
    5,123.84x = 20,406,788.50
  5. Step 5: Solve for x
    x = 20,406,788.50/5,123.84
  6. Step 6: Final answer
    x = 3,982.71

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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.