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Finding the Fourth Proportional to 5,246.55, 7,871.19 and 2,324.16

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Solution

The fourth proportional to 5,246.55, 7,871.19 and 2,324.16 is: 3,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.55 : 7,871.19 = 2,324.16 : x
  2. Step 2: Convert to fraction form
    5,246.55/7,871.19 = 2,324.16/x
  3. Step 3: Cross multiply
    5,246.55x = 7,871.19 × 2,324.16
  4. Step 4: Simplify right side
    5,246.55x = 18,293,938.83
  5. Step 5: Solve for x
    x = 18,293,938.83/5,246.55
  6. Step 6: Final answer
    x = 3,486.85

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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.