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Finding the Fourth Proportional to 4,026.40, 6,039.78 and 2,082.40

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Solution

The fourth proportional to 4,026.40, 6,039.78 and 2,082.40 is: 3,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.40 : 6,039.78 = 2,082.40 : x
  2. Step 2: Convert to fraction form
    4,026.40/6,039.78 = 2,082.40/x
  3. Step 3: Cross multiply
    4,026.40x = 6,039.78 × 2,082.40
  4. Step 4: Simplify right side
    4,026.40x = 12,577,237.87
  5. Step 5: Solve for x
    x = 12,577,237.87/4,026.40
  6. Step 6: Final answer
    x = 3,123.69

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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.