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Finding the Fourth Proportional to 4,279.59, 6,415.62 and 2,057.31

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Solution

The fourth proportional to 4,279.59, 6,415.62 and 2,057.31 is: 3,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.59 : 6,415.62 = 2,057.31 : x
  2. Step 2: Convert to fraction form
    4,279.59/6,415.62 = 2,057.31/x
  3. Step 3: Cross multiply
    4,279.59x = 6,415.62 × 2,057.31
  4. Step 4: Simplify right side
    4,279.59x = 13,198,919.18
  5. Step 5: Solve for x
    x = 13,198,919.18/4,279.59
  6. Step 6: Final answer
    x = 3,084.16

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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.