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Finding the Fourth Proportional to 4,867.44, 7,302.24 and 1,404.96

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Solution

The fourth proportional to 4,867.44, 7,302.24 and 1,404.96 is: 2,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.44 : 7,302.24 = 1,404.96 : x
  2. Step 2: Convert to fraction form
    4,867.44/7,302.24 = 1,404.96/x
  3. Step 3: Cross multiply
    4,867.44x = 7,302.24 × 1,404.96
  4. Step 4: Simplify right side
    4,867.44x = 10,259,355.11
  5. Step 5: Solve for x
    x = 10,259,355.11/4,867.44
  6. Step 6: Final answer
    x = 2,107.75

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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.