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Finding the Fourth Proportional to 5,182.79, 7,774.18 and 1,287.19

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Solution

The fourth proportional to 5,182.79, 7,774.18 and 1,287.19 is: 1,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.79 : 7,774.18 = 1,287.19 : x
  2. Step 2: Convert to fraction form
    5,182.79/7,774.18 = 1,287.19/x
  3. Step 3: Cross multiply
    5,182.79x = 7,774.18 × 1,287.19
  4. Step 4: Simplify right side
    5,182.79x = 10,006,872.66
  5. Step 5: Solve for x
    x = 10,006,872.66/5,182.79
  6. Step 6: Final answer
    x = 1,930.79

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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.