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Finding the Fourth Proportional to 5,013, 7,519.56 and 1,314.96

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Solution

The fourth proportional to 5,013, 7,519.56 and 1,314.96 is: 1,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013 : 7,519.56 = 1,314.96 : x
  2. Step 2: Convert to fraction form
    5,013/7,519.56 = 1,314.96/x
  3. Step 3: Cross multiply
    5,013x = 7,519.56 × 1,314.96
  4. Step 4: Simplify right side
    5,013x = 9,887,920.62
  5. Step 5: Solve for x
    x = 9,887,920.62/5,013
  6. Step 6: Final answer
    x = 1,972.46

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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.