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Finding the Fourth Proportional to 5,747.00, 8,614.36 and 3,276.50

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Solution

The fourth proportional to 5,747.00, 8,614.36 and 3,276.50 is: 4,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.00 : 8,614.36 = 3,276.50 : x
  2. Step 2: Convert to fraction form
    5,747.00/8,614.36 = 3,276.50/x
  3. Step 3: Cross multiply
    5,747.00x = 8,614.36 × 3,276.50
  4. Step 4: Simplify right side
    5,747.00x = 28,224,899.28
  5. Step 5: Solve for x
    x = 28,224,899.28/5,747.00
  6. Step 6: Final answer
    x = 4,911.24

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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.