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Finding the Fourth Proportional to 5,140.82, 7,711.23 and 1,245.21

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Solution

The fourth proportional to 5,140.82, 7,711.23 and 1,245.21 is: 1,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.82 : 7,711.23 = 1,245.21 : x
  2. Step 2: Convert to fraction form
    5,140.82/7,711.23 = 1,245.21/x
  3. Step 3: Cross multiply
    5,140.82x = 7,711.23 × 1,245.21
  4. Step 4: Simplify right side
    5,140.82x = 9,602,100.71
  5. Step 5: Solve for x
    x = 9,602,100.71/5,140.82
  6. Step 6: Final answer
    x = 1,867.82

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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.