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Finding the Fourth Proportional to 3,129.20, 4,694.40 and 937.92

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Solution

The fourth proportional to 3,129.20, 4,694.40 and 937.92 is: 1,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.20 : 4,694.40 = 937.92 : x
  2. Step 2: Convert to fraction form
    3,129.20/4,694.40 = 937.92/x
  3. Step 3: Cross multiply
    3,129.20x = 4,694.40 × 937.92
  4. Step 4: Simplify right side
    3,129.20x = 4,402,971.65
  5. Step 5: Solve for x
    x = 4,402,971.65/3,129.20
  6. Step 6: Final answer
    x = 1,407.06

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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.