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Finding the Fourth Proportional to 5,391, 7,439.76 and 3,294.72

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Solution

The fourth proportional to 5,391, 7,439.76 and 3,294.72 is: 4,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391 : 7,439.76 = 3,294.72 : x
  2. Step 2: Convert to fraction form
    5,391/7,439.76 = 3,294.72/x
  3. Step 3: Cross multiply
    5,391x = 7,439.76 × 3,294.72
  4. Step 4: Simplify right side
    5,391x = 24,511,926.07
  5. Step 5: Solve for x
    x = 24,511,926.07/5,391
  6. Step 6: Final answer
    x = 4,546.82

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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.