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Finding the Fourth Proportional to 4,281.12, 5,906.16 and 2,881.44

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Solution

The fourth proportional to 4,281.12, 5,906.16 and 2,881.44 is: 3,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.12 : 5,906.16 = 2,881.44 : x
  2. Step 2: Convert to fraction form
    4,281.12/5,906.16 = 2,881.44/x
  3. Step 3: Cross multiply
    4,281.12x = 5,906.16 × 2,881.44
  4. Step 4: Simplify right side
    4,281.12x = 17,018,245.67
  5. Step 5: Solve for x
    x = 17,018,245.67/4,281.12
  6. Step 6: Final answer
    x = 3,975.19

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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.