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Finding the Fourth Proportional to 5,402.99, 8,104.46 and 1,507.25

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Solution

The fourth proportional to 5,402.99, 8,104.46 and 1,507.25 is: 2,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.99 : 8,104.46 = 1,507.25 : x
  2. Step 2: Convert to fraction form
    5,402.99/8,104.46 = 1,507.25/x
  3. Step 3: Cross multiply
    5,402.99x = 8,104.46 × 1,507.25
  4. Step 4: Simplify right side
    5,402.99x = 12,215,439.80
  5. Step 5: Solve for x
    x = 12,215,439.80/5,402.99
  6. Step 6: Final answer
    x = 2,260.87

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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.