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Finding the Fourth Proportional to 5,734.89, 8,603.24 and 2,448

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Solution

The fourth proportional to 5,734.89, 8,603.24 and 2,448 is: 3,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.89 : 8,603.24 = 2,448 : x
  2. Step 2: Convert to fraction form
    5,734.89/8,603.24 = 2,448/x
  3. Step 3: Cross multiply
    5,734.89x = 8,603.24 × 2,448
  4. Step 4: Simplify right side
    5,734.89x = 21,060,719.28
  5. Step 5: Solve for x
    x = 21,060,719.28/5,734.89
  6. Step 6: Final answer
    x = 3,672.38

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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.