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Finding the Fourth Proportional to 3,702.64, 5,109.40 and 2,131.12

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Solution

The fourth proportional to 3,702.64, 5,109.40 and 2,131.12 is: 2,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,109.40 = 2,131.12 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,109.40 = 2,131.12/x
  3. Step 3: Cross multiply
    3,702.64x = 5,109.40 × 2,131.12
  4. Step 4: Simplify right side
    3,702.64x = 10,888,744.53
  5. Step 5: Solve for x
    x = 10,888,744.53/3,702.64
  6. Step 6: Final answer
    x = 2,940.81

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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.