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Finding the Fourth Proportional to 4,180.96, 5,768.22 and 2,924.02

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Solution

The fourth proportional to 4,180.96, 5,768.22 and 2,924.02 is: 4,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.96 : 5,768.22 = 2,924.02 : x
  2. Step 2: Convert to fraction form
    4,180.96/5,768.22 = 2,924.02/x
  3. Step 3: Cross multiply
    4,180.96x = 5,768.22 × 2,924.02
  4. Step 4: Simplify right side
    4,180.96x = 16,866,390.64
  5. Step 5: Solve for x
    x = 16,866,390.64/4,180.96
  6. Step 6: Final answer
    x = 4,034.10

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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.