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Finding the Fourth Proportional to 4,335.60, 5,983 and 2,447.25

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Solution

The fourth proportional to 4,335.60, 5,983 and 2,447.25 is: 3,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.60 : 5,983 = 2,447.25 : x
  2. Step 2: Convert to fraction form
    4,335.60/5,983 = 2,447.25/x
  3. Step 3: Cross multiply
    4,335.60x = 5,983 × 2,447.25
  4. Step 4: Simplify right side
    4,335.60x = 14,641,896.75
  5. Step 5: Solve for x
    x = 14,641,896.75/4,335.60
  6. Step 6: Final answer
    x = 3,377.13

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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.