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Finding the Fourth Proportional to 3,889.13, 5,833.54 and 1,115.80

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Solution

The fourth proportional to 3,889.13, 5,833.54 and 1,115.80 is: 1,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.13 : 5,833.54 = 1,115.80 : x
  2. Step 2: Convert to fraction form
    3,889.13/5,833.54 = 1,115.80/x
  3. Step 3: Cross multiply
    3,889.13x = 5,833.54 × 1,115.80
  4. Step 4: Simplify right side
    3,889.13x = 6,509,063.93
  5. Step 5: Solve for x
    x = 6,509,063.93/3,889.13
  6. Step 6: Final answer
    x = 1,673.66

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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.