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Finding the Fourth Proportional to 4,205.61, 5,805.12 and 2,439

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Solution

The fourth proportional to 4,205.61, 5,805.12 and 2,439 is: 3,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.61 : 5,805.12 = 2,439 : x
  2. Step 2: Convert to fraction form
    4,205.61/5,805.12 = 2,439/x
  3. Step 3: Cross multiply
    4,205.61x = 5,805.12 × 2,439
  4. Step 4: Simplify right side
    4,205.61x = 14,158,687.68
  5. Step 5: Solve for x
    x = 14,158,687.68/4,205.61
  6. Step 6: Final answer
    x = 3,366.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.