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Finding the Fourth Proportional to 3,867.14, 5,801.52 and 1,269.86

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Solution

The fourth proportional to 3,867.14, 5,801.52 and 1,269.86 is: 1,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.14 : 5,801.52 = 1,269.86 : x
  2. Step 2: Convert to fraction form
    3,867.14/5,801.52 = 1,269.86/x
  3. Step 3: Cross multiply
    3,867.14x = 5,801.52 × 1,269.86
  4. Step 4: Simplify right side
    3,867.14x = 7,367,118.19
  5. Step 5: Solve for x
    x = 7,367,118.19/3,867.14
  6. Step 6: Final answer
    x = 1,905.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.