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Finding the Fourth Proportional to 3,937.83, 5,908.10 and 1,342.59

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Solution

The fourth proportional to 3,937.83, 5,908.10 and 1,342.59 is: 2,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.83 : 5,908.10 = 1,342.59 : x
  2. Step 2: Convert to fraction form
    3,937.83/5,908.10 = 1,342.59/x
  3. Step 3: Cross multiply
    3,937.83x = 5,908.10 × 1,342.59
  4. Step 4: Simplify right side
    3,937.83x = 7,932,149.27
  5. Step 5: Solve for x
    x = 7,932,149.27/3,937.83
  6. Step 6: Final answer
    x = 2,014.35

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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.