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Finding the Fourth Proportional to 3,877.64, 5,356.82 and 3,352.76

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Solution

The fourth proportional to 3,877.64, 5,356.82 and 3,352.76 is: 4,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.64 : 5,356.82 = 3,352.76 : x
  2. Step 2: Convert to fraction form
    3,877.64/5,356.82 = 3,352.76/x
  3. Step 3: Cross multiply
    3,877.64x = 5,356.82 × 3,352.76
  4. Step 4: Simplify right side
    3,877.64x = 17,960,131.82
  5. Step 5: Solve for x
    x = 17,960,131.82/3,877.64
  6. Step 6: Final answer
    x = 4,631.72

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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.