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Finding the Fourth Proportional to 5,257.66, 7,888.32 and 2,338.02

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Solution

The fourth proportional to 5,257.66, 7,888.32 and 2,338.02 is: 3,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.66 : 7,888.32 = 2,338.02 : x
  2. Step 2: Convert to fraction form
    5,257.66/7,888.32 = 2,338.02/x
  3. Step 3: Cross multiply
    5,257.66x = 7,888.32 × 2,338.02
  4. Step 4: Simplify right side
    5,257.66x = 18,443,049.93
  5. Step 5: Solve for x
    x = 18,443,049.93/5,257.66
  6. Step 6: Final answer
    x = 3,507.84

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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.