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Finding the Fourth Proportional to 3,728.36, 5,140.06 and 2,815.88

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Solution

The fourth proportional to 3,728.36, 5,140.06 and 2,815.88 is: 3,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.36 : 5,140.06 = 2,815.88 : x
  2. Step 2: Convert to fraction form
    3,728.36/5,140.06 = 2,815.88/x
  3. Step 3: Cross multiply
    3,728.36x = 5,140.06 × 2,815.88
  4. Step 4: Simplify right side
    3,728.36x = 14,473,792.15
  5. Step 5: Solve for x
    x = 14,473,792.15/3,728.36
  6. Step 6: Final answer
    x = 3,882.08

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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.