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Finding the Fourth Proportional to 3,775.79, 5,686.28 and 3,439.10

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Solution

The fourth proportional to 3,775.79, 5,686.28 and 3,439.10 is: 5,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.79 : 5,686.28 = 3,439.10 : x
  2. Step 2: Convert to fraction form
    3,775.79/5,686.28 = 3,439.10/x
  3. Step 3: Cross multiply
    3,775.79x = 5,686.28 × 3,439.10
  4. Step 4: Simplify right side
    3,775.79x = 19,555,639.92
  5. Step 5: Solve for x
    x = 19,555,639.92/3,775.79
  6. Step 6: Final answer
    x = 5,179.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.