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Finding the Fourth Proportional to 5,476.24, 8,213.12 and 1,580.96

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Solution

The fourth proportional to 5,476.24, 8,213.12 and 1,580.96 is: 2,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.24 : 8,213.12 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    5,476.24/8,213.12 = 1,580.96/x
  3. Step 3: Cross multiply
    5,476.24x = 8,213.12 × 1,580.96
  4. Step 4: Simplify right side
    5,476.24x = 12,984,614.20
  5. Step 5: Solve for x
    x = 12,984,614.20/5,476.24
  6. Step 6: Final answer
    x = 2,371.08

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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.