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Finding the Fourth Proportional to 3,665.48, 5,498.49 and 2,022.80

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Solution

The fourth proportional to 3,665.48, 5,498.49 and 2,022.80 is: 3,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.48 : 5,498.49 = 2,022.80 : x
  2. Step 2: Convert to fraction form
    3,665.48/5,498.49 = 2,022.80/x
  3. Step 3: Cross multiply
    3,665.48x = 5,498.49 × 2,022.80
  4. Step 4: Simplify right side
    3,665.48x = 11,122,345.57
  5. Step 5: Solve for x
    x = 11,122,345.57/3,665.48
  6. Step 6: Final answer
    x = 3,034.35

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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.