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Finding the Fourth Proportional to 3,845.58, 5,306.58 and 2,166.90

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Solution

The fourth proportional to 3,845.58, 5,306.58 and 2,166.90 is: 2,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.58 : 5,306.58 = 2,166.90 : x
  2. Step 2: Convert to fraction form
    3,845.58/5,306.58 = 2,166.90/x
  3. Step 3: Cross multiply
    3,845.58x = 5,306.58 × 2,166.90
  4. Step 4: Simplify right side
    3,845.58x = 11,498,828.20
  5. Step 5: Solve for x
    x = 11,498,828.20/3,845.58
  6. Step 6: Final answer
    x = 2,990.14

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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.