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Finding the Fourth Proportional to 5,112.60, 7,661.34 and 2,922

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Solution

The fourth proportional to 5,112.60, 7,661.34 and 2,922 is: 4,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.60 : 7,661.34 = 2,922 : x
  2. Step 2: Convert to fraction form
    5,112.60/7,661.34 = 2,922/x
  3. Step 3: Cross multiply
    5,112.60x = 7,661.34 × 2,922
  4. Step 4: Simplify right side
    5,112.60x = 22,386,435.48
  5. Step 5: Solve for x
    x = 22,386,435.48/5,112.60
  6. Step 6: Final answer
    x = 4,378.68

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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.