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Finding the Fourth Proportional to 5,182.70, 7,773.91 and 1,287.06

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Solution

The fourth proportional to 5,182.70, 7,773.91 and 1,287.06 is: 1,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.70 : 7,773.91 = 1,287.06 : x
  2. Step 2: Convert to fraction form
    5,182.70/7,773.91 = 1,287.06/x
  3. Step 3: Cross multiply
    5,182.70x = 7,773.91 × 1,287.06
  4. Step 4: Simplify right side
    5,182.70x = 10,005,488.60
  5. Step 5: Solve for x
    x = 10,005,488.60/5,182.70
  6. Step 6: Final answer
    x = 1,930.56

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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.