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Finding the Fourth Proportional to 5,246.72, 7,864.16 and 2,324.64

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Solution

The fourth proportional to 5,246.72, 7,864.16 and 2,324.64 is: 3,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.72 : 7,864.16 = 2,324.64 : x
  2. Step 2: Convert to fraction form
    5,246.72/7,864.16 = 2,324.64/x
  3. Step 3: Cross multiply
    5,246.72x = 7,864.16 × 2,324.64
  4. Step 4: Simplify right side
    5,246.72x = 18,281,340.90
  5. Step 5: Solve for x
    x = 18,281,340.90/5,246.72
  6. Step 6: Final answer
    x = 3,484.34

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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.