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Finding the Fourth Proportional to 4,474.90, 6,742.19 and 4,120.66

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Solution

The fourth proportional to 4,474.90, 6,742.19 and 4,120.66 is: 6,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.90 : 6,742.19 = 4,120.66 : x
  2. Step 2: Convert to fraction form
    4,474.90/6,742.19 = 4,120.66/x
  3. Step 3: Cross multiply
    4,474.90x = 6,742.19 × 4,120.66
  4. Step 4: Simplify right side
    4,474.90x = 27,782,272.65
  5. Step 5: Solve for x
    x = 27,782,272.65/4,474.90
  6. Step 6: Final answer
    x = 6,208.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.