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Finding the Fourth Proportional to 4,259.97, 5,878.13 and 2,396.61

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Solution

The fourth proportional to 4,259.97, 5,878.13 and 2,396.61 is: 3,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.97 : 5,878.13 = 2,396.61 : x
  2. Step 2: Convert to fraction form
    4,259.97/5,878.13 = 2,396.61/x
  3. Step 3: Cross multiply
    4,259.97x = 5,878.13 × 2,396.61
  4. Step 4: Simplify right side
    4,259.97x = 14,087,573.16
  5. Step 5: Solve for x
    x = 14,087,573.16/4,259.97
  6. Step 6: Final answer
    x = 3,306.97

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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.