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Finding the Fourth Proportional to 5,182.60, 7,773.90 and 1,286.98

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Solution

The fourth proportional to 5,182.60, 7,773.90 and 1,286.98 is: 1,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.60 : 7,773.90 = 1,286.98 : x
  2. Step 2: Convert to fraction form
    5,182.60/7,773.90 = 1,286.98/x
  3. Step 3: Cross multiply
    5,182.60x = 7,773.90 × 1,286.98
  4. Step 4: Simplify right side
    5,182.60x = 10,004,853.82
  5. Step 5: Solve for x
    x = 10,004,853.82/5,182.60
  6. Step 6: Final answer
    x = 1,930.47

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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.