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Finding the Fourth Proportional to 4,469.88, 6,695.84 and 2,132.14

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Solution

The fourth proportional to 4,469.88, 6,695.84 and 2,132.14 is: 3,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.88 : 6,695.84 = 2,132.14 : x
  2. Step 2: Convert to fraction form
    4,469.88/6,695.84 = 2,132.14/x
  3. Step 3: Cross multiply
    4,469.88x = 6,695.84 × 2,132.14
  4. Step 4: Simplify right side
    4,469.88x = 14,276,468.30
  5. Step 5: Solve for x
    x = 14,276,468.30/4,469.88
  6. Step 6: Final answer
    x = 3,193.93

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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.