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Finding the Fourth Proportional to 3,867.48, 5,799.16 and 1,917.24

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Solution

The fourth proportional to 3,867.48, 5,799.16 and 1,917.24 is: 2,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.48 : 5,799.16 = 1,917.24 : x
  2. Step 2: Convert to fraction form
    3,867.48/5,799.16 = 1,917.24/x
  3. Step 3: Cross multiply
    3,867.48x = 5,799.16 × 1,917.24
  4. Step 4: Simplify right side
    3,867.48x = 11,118,381.52
  5. Step 5: Solve for x
    x = 11,118,381.52/3,867.48
  6. Step 6: Final answer
    x = 2,874.84

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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.