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Finding the Fourth Proportional to 5,142.57, 7,707.66 and 2,365.44

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Solution

The fourth proportional to 5,142.57, 7,707.66 and 2,365.44 is: 3,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.57 : 7,707.66 = 2,365.44 : x
  2. Step 2: Convert to fraction form
    5,142.57/7,707.66 = 2,365.44/x
  3. Step 3: Cross multiply
    5,142.57x = 7,707.66 × 2,365.44
  4. Step 4: Simplify right side
    5,142.57x = 18,231,969.50
  5. Step 5: Solve for x
    x = 18,231,969.50/5,142.57
  6. Step 6: Final answer
    x = 3,545.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.