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Finding the Fourth Proportional to 5,306.92, 7,324.35 and 3,819.76

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Solution

The fourth proportional to 5,306.92, 7,324.35 and 3,819.76 is: 5,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.92 : 7,324.35 = 3,819.76 : x
  2. Step 2: Convert to fraction form
    5,306.92/7,324.35 = 3,819.76/x
  3. Step 3: Cross multiply
    5,306.92x = 7,324.35 × 3,819.76
  4. Step 4: Simplify right side
    5,306.92x = 27,977,259.16
  5. Step 5: Solve for x
    x = 27,977,259.16/5,306.92
  6. Step 6: Final answer
    x = 5,271.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.