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Finding the Fourth Proportional to 5,217.90, 7,827.62 and 1,519.65

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Solution

The fourth proportional to 5,217.90, 7,827.62 and 1,519.65 is: 2,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.90 : 7,827.62 = 1,519.65 : x
  2. Step 2: Convert to fraction form
    5,217.90/7,827.62 = 1,519.65/x
  3. Step 3: Cross multiply
    5,217.90x = 7,827.62 × 1,519.65
  4. Step 4: Simplify right side
    5,217.90x = 11,895,242.73
  5. Step 5: Solve for x
    x = 11,895,242.73/5,217.90
  6. Step 6: Final answer
    x = 2,279.70

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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.