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Finding the Fourth Proportional to 3,703.78, 5,112.06 and 2,132.80

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Solution

The fourth proportional to 3,703.78, 5,112.06 and 2,132.80 is: 2,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.78 : 5,112.06 = 2,132.80 : x
  2. Step 2: Convert to fraction form
    3,703.78/5,112.06 = 2,132.80/x
  3. Step 3: Cross multiply
    3,703.78x = 5,112.06 × 2,132.80
  4. Step 4: Simplify right side
    3,703.78x = 10,903,001.57
  5. Step 5: Solve for x
    x = 10,903,001.57/3,703.78
  6. Step 6: Final answer
    x = 2,943.75

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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.