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Finding the Fourth Proportional to 3,934.88, 5,430.24 and 2,166.65

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Solution

The fourth proportional to 3,934.88, 5,430.24 and 2,166.65 is: 2,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.88 : 5,430.24 = 2,166.65 : x
  2. Step 2: Convert to fraction form
    3,934.88/5,430.24 = 2,166.65/x
  3. Step 3: Cross multiply
    3,934.88x = 5,430.24 × 2,166.65
  4. Step 4: Simplify right side
    3,934.88x = 11,765,422.71
  5. Step 5: Solve for x
    x = 11,765,422.71/3,934.88
  6. Step 6: Final answer
    x = 2,990.03

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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.