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Finding the Fourth Proportional to 5,147.70, 7,721.49 and 1,252.14

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Solution

The fourth proportional to 5,147.70, 7,721.49 and 1,252.14 is: 1,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.70 : 7,721.49 = 1,252.14 : x
  2. Step 2: Convert to fraction form
    5,147.70/7,721.49 = 1,252.14/x
  3. Step 3: Cross multiply
    5,147.70x = 7,721.49 × 1,252.14
  4. Step 4: Simplify right side
    5,147.70x = 9,668,386.49
  5. Step 5: Solve for x
    x = 9,668,386.49/5,147.70
  6. Step 6: Final answer
    x = 1,878.20

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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.