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Finding the Fourth Proportional to 3,642.66, 5,465.34 and 2,081.70

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Solution

The fourth proportional to 3,642.66, 5,465.34 and 2,081.70 is: 3,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.66 : 5,465.34 = 2,081.70 : x
  2. Step 2: Convert to fraction form
    3,642.66/5,465.34 = 2,081.70/x
  3. Step 3: Cross multiply
    3,642.66x = 5,465.34 × 2,081.70
  4. Step 4: Simplify right side
    3,642.66x = 11,377,198.28
  5. Step 5: Solve for x
    x = 11,377,198.28/3,642.66
  6. Step 6: Final answer
    x = 3,123.32

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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.