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Finding the Fourth Proportional to 5,207.40, 7,809.87 and 1,508.65

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Solution

The fourth proportional to 5,207.40, 7,809.87 and 1,508.65 is: 2,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.40 : 7,809.87 = 1,508.65 : x
  2. Step 2: Convert to fraction form
    5,207.40/7,809.87 = 1,508.65/x
  3. Step 3: Cross multiply
    5,207.40x = 7,809.87 × 1,508.65
  4. Step 4: Simplify right side
    5,207.40x = 11,782,360.38
  5. Step 5: Solve for x
    x = 11,782,360.38/5,207.40
  6. Step 6: Final answer
    x = 2,262.62

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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.