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Finding the Fourth Proportional to 5,306.16, 7,959.24 and 3,358.92

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Solution

The fourth proportional to 5,306.16, 7,959.24 and 3,358.92 is: 5,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.16 : 7,959.24 = 3,358.92 : x
  2. Step 2: Convert to fraction form
    5,306.16/7,959.24 = 3,358.92/x
  3. Step 3: Cross multiply
    5,306.16x = 7,959.24 × 3,358.92
  4. Step 4: Simplify right side
    5,306.16x = 26,734,450.42
  5. Step 5: Solve for x
    x = 26,734,450.42/5,306.16
  6. Step 6: Final answer
    x = 5,038.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.