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Finding the Fourth Proportional to 4,753.64, 7,132.89 and 2,156.24

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Solution

The fourth proportional to 4,753.64, 7,132.89 and 2,156.24 is: 3,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.64 : 7,132.89 = 2,156.24 : x
  2. Step 2: Convert to fraction form
    4,753.64/7,132.89 = 2,156.24/x
  3. Step 3: Cross multiply
    4,753.64x = 7,132.89 × 2,156.24
  4. Step 4: Simplify right side
    4,753.64x = 15,380,222.73
  5. Step 5: Solve for x
    x = 15,380,222.73/4,753.64
  6. Step 6: Final answer
    x = 3,235.46

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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.