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Finding the Fourth Proportional to 3,702.84, 5,110.20 and 2,131.08

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Solution

The fourth proportional to 3,702.84, 5,110.20 and 2,131.08 is: 2,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.84 : 5,110.20 = 2,131.08 : x
  2. Step 2: Convert to fraction form
    3,702.84/5,110.20 = 2,131.08/x
  3. Step 3: Cross multiply
    3,702.84x = 5,110.20 × 2,131.08
  4. Step 4: Simplify right side
    3,702.84x = 10,890,245.02
  5. Step 5: Solve for x
    x = 10,890,245.02/3,702.84
  6. Step 6: Final answer
    x = 2,941.05

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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.