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Finding the Fourth Proportional to 3,469.91, 4,788.11 and 2,053.65

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Solution

The fourth proportional to 3,469.91, 4,788.11 and 2,053.65 is: 2,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.91 : 4,788.11 = 2,053.65 : x
  2. Step 2: Convert to fraction form
    3,469.91/4,788.11 = 2,053.65/x
  3. Step 3: Cross multiply
    3,469.91x = 4,788.11 × 2,053.65
  4. Step 4: Simplify right side
    3,469.91x = 9,833,102.10
  5. Step 5: Solve for x
    x = 9,833,102.10/3,469.91
  6. Step 6: Final answer
    x = 2,833.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.