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Finding the Fourth Proportional to 5,248.65, 7,874.49 and 1,551

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Solution

The fourth proportional to 5,248.65, 7,874.49 and 1,551 is: 2,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.65 : 7,874.49 = 1,551 : x
  2. Step 2: Convert to fraction form
    5,248.65/7,874.49 = 1,551/x
  3. Step 3: Cross multiply
    5,248.65x = 7,874.49 × 1,551
  4. Step 4: Simplify right side
    5,248.65x = 12,213,333.99
  5. Step 5: Solve for x
    x = 12,213,333.99/5,248.65
  6. Step 6: Final answer
    x = 2,326.95

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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.