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Finding the Fourth Proportional to 4,152.66, 6,231.27 and 1,686.82

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Solution

The fourth proportional to 4,152.66, 6,231.27 and 1,686.82 is: 2,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.66 : 6,231.27 = 1,686.82 : x
  2. Step 2: Convert to fraction form
    4,152.66/6,231.27 = 1,686.82/x
  3. Step 3: Cross multiply
    4,152.66x = 6,231.27 × 1,686.82
  4. Step 4: Simplify right side
    4,152.66x = 10,511,012.12
  5. Step 5: Solve for x
    x = 10,511,012.12/4,152.66
  6. Step 6: Final answer
    x = 2,531.15

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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.