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Finding the Fourth Proportional to 3,877.17, 5,352.53 and 3,112.63

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Solution

The fourth proportional to 3,877.17, 5,352.53 and 3,112.63 is: 4,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.17 : 5,352.53 = 3,112.63 : x
  2. Step 2: Convert to fraction form
    3,877.17/5,352.53 = 3,112.63/x
  3. Step 3: Cross multiply
    3,877.17x = 5,352.53 × 3,112.63
  4. Step 4: Simplify right side
    3,877.17x = 16,660,434.02
  5. Step 5: Solve for x
    x = 16,660,434.02/3,877.17
  6. Step 6: Final answer
    x = 4,297.06

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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.