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Finding the Fourth Proportional to 3,952.90, 5,454.86 and 2,160.38

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Solution

The fourth proportional to 3,952.90, 5,454.86 and 2,160.38 is: 2,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.90 : 5,454.86 = 2,160.38 : x
  2. Step 2: Convert to fraction form
    3,952.90/5,454.86 = 2,160.38/x
  3. Step 3: Cross multiply
    3,952.90x = 5,454.86 × 2,160.38
  4. Step 4: Simplify right side
    3,952.90x = 11,784,570.45
  5. Step 5: Solve for x
    x = 11,784,570.45/3,952.90
  6. Step 6: Final answer
    x = 2,981.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.