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Finding the Fourth Proportional to 3,617.80, 4,992.67 and 2,182.58

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Solution

The fourth proportional to 3,617.80, 4,992.67 and 2,182.58 is: 3,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.80 : 4,992.67 = 2,182.58 : x
  2. Step 2: Convert to fraction form
    3,617.80/4,992.67 = 2,182.58/x
  3. Step 3: Cross multiply
    3,617.80x = 4,992.67 × 2,182.58
  4. Step 4: Simplify right side
    3,617.80x = 10,896,901.69
  5. Step 5: Solve for x
    x = 10,896,901.69/3,617.80
  6. Step 6: Final answer
    x = 3,012.02

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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.