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Finding the Fourth Proportional to 5,702.88, 7,867.26 and 3,712.70

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Solution

The fourth proportional to 5,702.88, 7,867.26 and 3,712.70 is: 5,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.88 : 7,867.26 = 3,712.70 : x
  2. Step 2: Convert to fraction form
    5,702.88/7,867.26 = 3,712.70/x
  3. Step 3: Cross multiply
    5,702.88x = 7,867.26 × 3,712.70
  4. Step 4: Simplify right side
    5,702.88x = 29,208,776.20
  5. Step 5: Solve for x
    x = 29,208,776.20/5,702.88
  6. Step 6: Final answer
    x = 5,121.76

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