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Finding the Fourth Proportional to 5,148.70, 7,722.99 and 1,253.14

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Solution

The fourth proportional to 5,148.70, 7,722.99 and 1,253.14 is: 1,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.70 : 7,722.99 = 1,253.14 : x
  2. Step 2: Convert to fraction form
    5,148.70/7,722.99 = 1,253.14/x
  3. Step 3: Cross multiply
    5,148.70x = 7,722.99 × 1,253.14
  4. Step 4: Simplify right side
    5,148.70x = 9,677,987.69
  5. Step 5: Solve for x
    x = 9,677,987.69/5,148.70
  6. Step 6: Final answer
    x = 1,879.70

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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.