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Finding the Fourth Proportional to 5,175.47, 7,764.50 and 1,665.78

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Solution

The fourth proportional to 5,175.47, 7,764.50 and 1,665.78 is: 2,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.47 : 7,764.50 = 1,665.78 : x
  2. Step 2: Convert to fraction form
    5,175.47/7,764.50 = 1,665.78/x
  3. Step 3: Cross multiply
    5,175.47x = 7,764.50 × 1,665.78
  4. Step 4: Simplify right side
    5,175.47x = 12,933,948.81
  5. Step 5: Solve for x
    x = 12,933,948.81/5,175.47
  6. Step 6: Final answer
    x = 2,499.09

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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.