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Finding the Fourth Proportional to 3,566.76, 4,922.12 and 2,169.78

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Solution

The fourth proportional to 3,566.76, 4,922.12 and 2,169.78 is: 2,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.76 : 4,922.12 = 2,169.78 : x
  2. Step 2: Convert to fraction form
    3,566.76/4,922.12 = 2,169.78/x
  3. Step 3: Cross multiply
    3,566.76x = 4,922.12 × 2,169.78
  4. Step 4: Simplify right side
    3,566.76x = 10,679,917.53
  5. Step 5: Solve for x
    x = 10,679,917.53/3,566.76
  6. Step 6: Final answer
    x = 2,994.29

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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.