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Finding the Fourth Proportional to 3,061.96, 4,224.58 and 2,116.64

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Solution

The fourth proportional to 3,061.96, 4,224.58 and 2,116.64 is: 2,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.96 : 4,224.58 = 2,116.64 : x
  2. Step 2: Convert to fraction form
    3,061.96/4,224.58 = 2,116.64/x
  3. Step 3: Cross multiply
    3,061.96x = 4,224.58 × 2,116.64
  4. Step 4: Simplify right side
    3,061.96x = 8,941,920.28
  5. Step 5: Solve for x
    x = 8,941,920.28/3,061.96
  6. Step 6: Final answer
    x = 2,920.33

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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.