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Finding the Fourth Proportional to 3,705.76, 5,114.40 and 2,112.80

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Solution

The fourth proportional to 3,705.76, 5,114.40 and 2,112.80 is: 2,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.76 : 5,114.40 = 2,112.80 : x
  2. Step 2: Convert to fraction form
    3,705.76/5,114.40 = 2,112.80/x
  3. Step 3: Cross multiply
    3,705.76x = 5,114.40 × 2,112.80
  4. Step 4: Simplify right side
    3,705.76x = 10,805,704.32
  5. Step 5: Solve for x
    x = 10,805,704.32/3,705.76
  6. Step 6: Final answer
    x = 2,915.92

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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.