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Finding the Fourth Proportional to 3,878.63, 5,366.59 and 3,382.30

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Solution

The fourth proportional to 3,878.63, 5,366.59 and 3,382.30 is: 4,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.63 : 5,366.59 = 3,382.30 : x
  2. Step 2: Convert to fraction form
    3,878.63/5,366.59 = 3,382.30/x
  3. Step 3: Cross multiply
    3,878.63x = 5,366.59 × 3,382.30
  4. Step 4: Simplify right side
    3,878.63x = 18,151,417.36
  5. Step 5: Solve for x
    x = 18,151,417.36/3,878.63
  6. Step 6: Final answer
    x = 4,679.85

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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.