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Finding the Fourth Proportional to 3,920.98, 5,411.02 and 2,152.66

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Solution

The fourth proportional to 3,920.98, 5,411.02 and 2,152.66 is: 2,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.98 : 5,411.02 = 2,152.66 : x
  2. Step 2: Convert to fraction form
    3,920.98/5,411.02 = 2,152.66/x
  3. Step 3: Cross multiply
    3,920.98x = 5,411.02 × 2,152.66
  4. Step 4: Simplify right side
    3,920.98x = 11,648,086.31
  5. Step 5: Solve for x
    x = 11,648,086.31/3,920.98
  6. Step 6: Final answer
    x = 2,970.71

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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.