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Finding the Fourth Proportional to 5,251.66, 7,875.38 and 2,617.25

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Solution

The fourth proportional to 5,251.66, 7,875.38 and 2,617.25 is: 3,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.66 : 7,875.38 = 2,617.25 : x
  2. Step 2: Convert to fraction form
    5,251.66/7,875.38 = 2,617.25/x
  3. Step 3: Cross multiply
    5,251.66x = 7,875.38 × 2,617.25
  4. Step 4: Simplify right side
    5,251.66x = 20,611,805.47
  5. Step 5: Solve for x
    x = 20,611,805.47/5,251.66
  6. Step 6: Final answer
    x = 3,924.82

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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.