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Finding the Fourth Proportional to 3,724.75, 5,140.29 and 2,046.31

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Solution

The fourth proportional to 3,724.75, 5,140.29 and 2,046.31 is: 2,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.75 : 5,140.29 = 2,046.31 : x
  2. Step 2: Convert to fraction form
    3,724.75/5,140.29 = 2,046.31/x
  3. Step 3: Cross multiply
    3,724.75x = 5,140.29 × 2,046.31
  4. Step 4: Simplify right side
    3,724.75x = 10,518,626.83
  5. Step 5: Solve for x
    x = 10,518,626.83/3,724.75
  6. Step 6: Final answer
    x = 2,823.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.