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Finding the Fourth Proportional to 5,167.13, 7,750.49 and 1,469.21

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Solution

The fourth proportional to 5,167.13, 7,750.49 and 1,469.21 is: 2,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.13 : 7,750.49 = 1,469.21 : x
  2. Step 2: Convert to fraction form
    5,167.13/7,750.49 = 1,469.21/x
  3. Step 3: Cross multiply
    5,167.13x = 7,750.49 × 1,469.21
  4. Step 4: Simplify right side
    5,167.13x = 11,387,051.31
  5. Step 5: Solve for x
    x = 11,387,051.31/5,167.13
  6. Step 6: Final answer
    x = 2,203.75

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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.