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Finding the Fourth Proportional to 3,952.65, 5,454.70 and 2,160.18

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Solution

The fourth proportional to 3,952.65, 5,454.70 and 2,160.18 is: 2,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.65 : 5,454.70 = 2,160.18 : x
  2. Step 2: Convert to fraction form
    3,952.65/5,454.70 = 2,160.18/x
  3. Step 3: Cross multiply
    3,952.65x = 5,454.70 × 2,160.18
  4. Step 4: Simplify right side
    3,952.65x = 11,783,128.45
  5. Step 5: Solve for x
    x = 11,783,128.45/3,952.65
  6. Step 6: Final answer
    x = 2,981.07

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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.