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Finding the Fourth Proportional to 4,131.90, 5,702.24 and 2,363.86

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Solution

The fourth proportional to 4,131.90, 5,702.24 and 2,363.86 is: 3,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.90 : 5,702.24 = 2,363.86 : x
  2. Step 2: Convert to fraction form
    4,131.90/5,702.24 = 2,363.86/x
  3. Step 3: Cross multiply
    4,131.90x = 5,702.24 × 2,363.86
  4. Step 4: Simplify right side
    4,131.90x = 13,479,297.05
  5. Step 5: Solve for x
    x = 13,479,297.05/4,131.90
  6. Step 6: Final answer
    x = 3,262.25

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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.