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Finding the Fourth Proportional to 3,724.99, 5,140.47 and 2,046.36

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Solution

The fourth proportional to 3,724.99, 5,140.47 and 2,046.36 is: 2,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.99 : 5,140.47 = 2,046.36 : x
  2. Step 2: Convert to fraction form
    3,724.99/5,140.47 = 2,046.36/x
  3. Step 3: Cross multiply
    3,724.99x = 5,140.47 × 2,046.36
  4. Step 4: Simplify right side
    3,724.99x = 10,519,252.19
  5. Step 5: Solve for x
    x = 10,519,252.19/3,724.99
  6. Step 6: Final answer
    x = 2,823.97

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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.