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Finding the Fourth Proportional to 3,153.70, 4,728.03 and 1,305.73

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Solution

The fourth proportional to 3,153.70, 4,728.03 and 1,305.73 is: 1,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.70 : 4,728.03 = 1,305.73 : x
  2. Step 2: Convert to fraction form
    3,153.70/4,728.03 = 1,305.73/x
  3. Step 3: Cross multiply
    3,153.70x = 4,728.03 × 1,305.73
  4. Step 4: Simplify right side
    3,153.70x = 6,173,530.61
  5. Step 5: Solve for x
    x = 6,173,530.61/3,153.70
  6. Step 6: Final answer
    x = 1,957.55

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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.