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Finding the Fourth Proportional to 3,728.22, 5,585.14 and 1,877.14

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Solution

The fourth proportional to 3,728.22, 5,585.14 and 1,877.14 is: 2,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.22 : 5,585.14 = 1,877.14 : x
  2. Step 2: Convert to fraction form
    3,728.22/5,585.14 = 1,877.14/x
  3. Step 3: Cross multiply
    3,728.22x = 5,585.14 × 1,877.14
  4. Step 4: Simplify right side
    3,728.22x = 10,484,089.70
  5. Step 5: Solve for x
    x = 10,484,089.70/3,728.22
  6. Step 6: Final answer
    x = 2,812.09

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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.