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Finding the Fourth Proportional to 3,827.71, 5,278.93 and 3,438.91

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Solution

The fourth proportional to 3,827.71, 5,278.93 and 3,438.91 is: 4,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.71 : 5,278.93 = 3,438.91 : x
  2. Step 2: Convert to fraction form
    3,827.71/5,278.93 = 3,438.91/x
  3. Step 3: Cross multiply
    3,827.71x = 5,278.93 × 3,438.91
  4. Step 4: Simplify right side
    3,827.71x = 18,153,765.17
  5. Step 5: Solve for x
    x = 18,153,765.17/3,827.71
  6. Step 6: Final answer
    x = 4,742.72

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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.