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Finding the Fourth Proportional to 5,169.13, 7,753.65 and 1,883.14

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Solution

The fourth proportional to 5,169.13, 7,753.65 and 1,883.14 is: 2,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.13 : 7,753.65 = 1,883.14 : x
  2. Step 2: Convert to fraction form
    5,169.13/7,753.65 = 1,883.14/x
  3. Step 3: Cross multiply
    5,169.13x = 7,753.65 × 1,883.14
  4. Step 4: Simplify right side
    5,169.13x = 14,601,208.46
  5. Step 5: Solve for x
    x = 14,601,208.46/5,169.13
  6. Step 6: Final answer
    x = 2,824.69

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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.