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Finding the Fourth Proportional to 3,614.56, 5,416.17 and 2,152.92

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Solution

The fourth proportional to 3,614.56, 5,416.17 and 2,152.92 is: 3,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.56 : 5,416.17 = 2,152.92 : x
  2. Step 2: Convert to fraction form
    3,614.56/5,416.17 = 2,152.92/x
  3. Step 3: Cross multiply
    3,614.56x = 5,416.17 × 2,152.92
  4. Step 4: Simplify right side
    3,614.56x = 11,660,580.72
  5. Step 5: Solve for x
    x = 11,660,580.72/3,614.56
  6. Step 6: Final answer
    x = 3,226.00

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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.