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Finding the Fourth Proportional to 3,131.76, 4,698.32 and 2,672.72

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Solution

The fourth proportional to 3,131.76, 4,698.32 and 2,672.72 is: 4,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.76 : 4,698.32 = 2,672.72 : x
  2. Step 2: Convert to fraction form
    3,131.76/4,698.32 = 2,672.72/x
  3. Step 3: Cross multiply
    3,131.76x = 4,698.32 × 2,672.72
  4. Step 4: Simplify right side
    3,131.76x = 12,557,293.83
  5. Step 5: Solve for x
    x = 12,557,293.83/3,131.76
  6. Step 6: Final answer
    x = 4,009.66

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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.