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Finding the Fourth Proportional to 3,877.65, 5,346.56 and 3,166.88

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Solution

The fourth proportional to 3,877.65, 5,346.56 and 3,166.88 is: 4,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.65 : 5,346.56 = 3,166.88 : x
  2. Step 2: Convert to fraction form
    3,877.65/5,346.56 = 3,166.88/x
  3. Step 3: Cross multiply
    3,877.65x = 5,346.56 × 3,166.88
  4. Step 4: Simplify right side
    3,877.65x = 16,931,871.37
  5. Step 5: Solve for x
    x = 16,931,871.37/3,877.65
  6. Step 6: Final answer
    x = 4,366.53

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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.