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Finding the Fourth Proportional to 4,162.60, 5,751.14 and 4,121.64

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Solution

The fourth proportional to 4,162.60, 5,751.14 and 4,121.64 is: 5,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.60 : 5,751.14 = 4,121.64 : x
  2. Step 2: Convert to fraction form
    4,162.60/5,751.14 = 4,121.64/x
  3. Step 3: Cross multiply
    4,162.60x = 5,751.14 × 4,121.64
  4. Step 4: Simplify right side
    4,162.60x = 23,704,128.67
  5. Step 5: Solve for x
    x = 23,704,128.67/4,162.60
  6. Step 6: Final answer
    x = 5,694.55

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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.