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Finding the Fourth Proportional to 3,827.43, 5,281.43 and 2,148.50

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Solution

The fourth proportional to 3,827.43, 5,281.43 and 2,148.50 is: 2,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.43 : 5,281.43 = 2,148.50 : x
  2. Step 2: Convert to fraction form
    3,827.43/5,281.43 = 2,148.50/x
  3. Step 3: Cross multiply
    3,827.43x = 5,281.43 × 2,148.50
  4. Step 4: Simplify right side
    3,827.43x = 11,347,115.21
  5. Step 5: Solve for x
    x = 11,347,115.21/3,827.43
  6. Step 6: Final answer
    x = 2,964.68

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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.