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Finding the Fourth Proportional to 3,168.90, 4,754.33 and 2,824.65

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Solution

The fourth proportional to 3,168.90, 4,754.33 and 2,824.65 is: 4,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.90 : 4,754.33 = 2,824.65 : x
  2. Step 2: Convert to fraction form
    3,168.90/4,754.33 = 2,824.65/x
  3. Step 3: Cross multiply
    3,168.90x = 4,754.33 × 2,824.65
  4. Step 4: Simplify right side
    3,168.90x = 13,429,304.11
  5. Step 5: Solve for x
    x = 13,429,304.11/3,168.90
  6. Step 6: Final answer
    x = 4,237.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.