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Finding the Fourth Proportional to 5,252.27, 7,879.55 and 3,032.55

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Solution

The fourth proportional to 5,252.27, 7,879.55 and 3,032.55 is: 4,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.27 : 7,879.55 = 3,032.55 : x
  2. Step 2: Convert to fraction form
    5,252.27/7,879.55 = 3,032.55/x
  3. Step 3: Cross multiply
    5,252.27x = 7,879.55 × 3,032.55
  4. Step 4: Simplify right side
    5,252.27x = 23,895,114.19
  5. Step 5: Solve for x
    x = 23,895,114.19/5,252.27
  6. Step 6: Final answer
    x = 4,549.49

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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.