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Finding the Fourth Proportional to 5,702.69, 7,867.44 and 3,712.52

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Solution

The fourth proportional to 5,702.69, 7,867.44 and 3,712.52 is: 5,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.69 : 7,867.44 = 3,712.52 : x
  2. Step 2: Convert to fraction form
    5,702.69/7,867.44 = 3,712.52/x
  3. Step 3: Cross multiply
    5,702.69x = 7,867.44 × 3,712.52
  4. Step 4: Simplify right side
    5,702.69x = 29,208,028.35
  5. Step 5: Solve for x
    x = 29,208,028.35/5,702.69
  6. Step 6: Final answer
    x = 5,121.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.