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Finding the Fourth Proportional to 3,626.40, 5,005.56 and 2,881.68

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Solution

The fourth proportional to 3,626.40, 5,005.56 and 2,881.68 is: 3,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.40 : 5,005.56 = 2,881.68 : x
  2. Step 2: Convert to fraction form
    3,626.40/5,005.56 = 2,881.68/x
  3. Step 3: Cross multiply
    3,626.40x = 5,005.56 × 2,881.68
  4. Step 4: Simplify right side
    3,626.40x = 14,424,422.14
  5. Step 5: Solve for x
    x = 14,424,422.14/3,626.40
  6. Step 6: Final answer
    x = 3,977.61

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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.