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Finding the Fourth Proportional to 5,141.19, 7,711.71 and 1,245.57

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Solution

The fourth proportional to 5,141.19, 7,711.71 and 1,245.57 is: 1,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.19 : 7,711.71 = 1,245.57 : x
  2. Step 2: Convert to fraction form
    5,141.19/7,711.71 = 1,245.57/x
  3. Step 3: Cross multiply
    5,141.19x = 7,711.71 × 1,245.57
  4. Step 4: Simplify right side
    5,141.19x = 9,605,474.62
  5. Step 5: Solve for x
    x = 9,605,474.62/5,141.19
  6. Step 6: Final answer
    x = 1,868.34

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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.