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Finding the Fourth Proportional to 3,121.51, 4,682.27 and 2,986.57

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Solution

The fourth proportional to 3,121.51, 4,682.27 and 2,986.57 is: 4,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.51 : 4,682.27 = 2,986.57 : x
  2. Step 2: Convert to fraction form
    3,121.51/4,682.27 = 2,986.57/x
  3. Step 3: Cross multiply
    3,121.51x = 4,682.27 × 2,986.57
  4. Step 4: Simplify right side
    3,121.51x = 13,983,927.11
  5. Step 5: Solve for x
    x = 13,983,927.11/3,121.51
  6. Step 6: Final answer
    x = 4,479.86

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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.