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Finding the Fourth Proportional to 3,569.46, 4,924.89 and 2,171.22

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Solution

The fourth proportional to 3,569.46, 4,924.89 and 2,171.22 is: 2,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.46 : 4,924.89 = 2,171.22 : x
  2. Step 2: Convert to fraction form
    3,569.46/4,924.89 = 2,171.22/x
  3. Step 3: Cross multiply
    3,569.46x = 4,924.89 × 2,171.22
  4. Step 4: Simplify right side
    3,569.46x = 10,693,019.67
  5. Step 5: Solve for x
    x = 10,693,019.67/3,569.46
  6. Step 6: Final answer
    x = 2,995.70

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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.