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Finding the Fourth Proportional to 3,414.42, 5,117.99 and 1,439.64

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Solution

The fourth proportional to 3,414.42, 5,117.99 and 1,439.64 is: 2,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.42 : 5,117.99 = 1,439.64 : x
  2. Step 2: Convert to fraction form
    3,414.42/5,117.99 = 1,439.64/x
  3. Step 3: Cross multiply
    3,414.42x = 5,117.99 × 1,439.64
  4. Step 4: Simplify right side
    3,414.42x = 7,368,055.93
  5. Step 5: Solve for x
    x = 7,368,055.93/3,414.42
  6. Step 6: Final answer
    x = 2,157.92

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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.