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Finding the Fourth Proportional to 3,410.97, 5,114.25 and 1,437.87

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Solution

The fourth proportional to 3,410.97, 5,114.25 and 1,437.87 is: 2,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.97 : 5,114.25 = 1,437.87 : x
  2. Step 2: Convert to fraction form
    3,410.97/5,114.25 = 1,437.87/x
  3. Step 3: Cross multiply
    3,410.97x = 5,114.25 × 1,437.87
  4. Step 4: Simplify right side
    3,410.97x = 7,353,626.65
  5. Step 5: Solve for x
    x = 7,353,626.65/3,410.97
  6. Step 6: Final answer
    x = 2,155.88

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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.