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Finding the Fourth Proportional to 5,760.08, 8,638.78 and 2,250.16

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Solution

The fourth proportional to 5,760.08, 8,638.78 and 2,250.16 is: 3,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.08 : 8,638.78 = 2,250.16 : x
  2. Step 2: Convert to fraction form
    5,760.08/8,638.78 = 2,250.16/x
  3. Step 3: Cross multiply
    5,760.08x = 8,638.78 × 2,250.16
  4. Step 4: Simplify right side
    5,760.08x = 19,438,637.20
  5. Step 5: Solve for x
    x = 19,438,637.20/5,760.08
  6. Step 6: Final answer
    x = 3,374.72

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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.