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Finding the Fourth Proportional to 3,158.28, 4,737.48 and 849.72

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Solution

The fourth proportional to 3,158.28, 4,737.48 and 849.72 is: 1,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.28 : 4,737.48 = 849.72 : x
  2. Step 2: Convert to fraction form
    3,158.28/4,737.48 = 849.72/x
  3. Step 3: Cross multiply
    3,158.28x = 4,737.48 × 849.72
  4. Step 4: Simplify right side
    3,158.28x = 4,025,531.51
  5. Step 5: Solve for x
    x = 4,025,531.51/3,158.28
  6. Step 6: Final answer
    x = 1,274.60

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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.