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Finding the Fourth Proportional to 3,937.70, 5,902.36 and 1,471.45

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Solution

The fourth proportional to 3,937.70, 5,902.36 and 1,471.45 is: 2,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.70 : 5,902.36 = 1,471.45 : x
  2. Step 2: Convert to fraction form
    3,937.70/5,902.36 = 1,471.45/x
  3. Step 3: Cross multiply
    3,937.70x = 5,902.36 × 1,471.45
  4. Step 4: Simplify right side
    3,937.70x = 8,685,009.19
  5. Step 5: Solve for x
    x = 8,685,009.19/3,937.70
  6. Step 6: Final answer
    x = 2,205.61

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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.