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Finding the Fourth Proportional to 3,447.75, 4,758.71 and 2,051.31

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Solution

The fourth proportional to 3,447.75, 4,758.71 and 2,051.31 is: 2,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 4,758.71 = 2,051.31 : x
  2. Step 2: Convert to fraction form
    3,447.75/4,758.71 = 2,051.31/x
  3. Step 3: Cross multiply
    3,447.75x = 4,758.71 × 2,051.31
  4. Step 4: Simplify right side
    3,447.75x = 9,761,579.15
  5. Step 5: Solve for x
    x = 9,761,579.15/3,447.75
  6. Step 6: Final answer
    x = 2,831.29

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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.