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Finding the Fourth Proportional to 3,702.50, 5,109.91 and 2,131.10

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Solution

The fourth proportional to 3,702.50, 5,109.91 and 2,131.10 is: 2,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.50 : 5,109.91 = 2,131.10 : x
  2. Step 2: Convert to fraction form
    3,702.50/5,109.91 = 2,131.10/x
  3. Step 3: Cross multiply
    3,702.50x = 5,109.91 × 2,131.10
  4. Step 4: Simplify right side
    3,702.50x = 10,889,698.32
  5. Step 5: Solve for x
    x = 10,889,698.32/3,702.50
  6. Step 6: Final answer
    x = 2,941.18

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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.