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Finding the Fourth Proportional to 2,895.92, 3,962.16 and 2,883.68

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Solution

The fourth proportional to 2,895.92, 3,962.16 and 2,883.68 is: 3,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.92 : 3,962.16 = 2,883.68 : x
  2. Step 2: Convert to fraction form
    2,895.92/3,962.16 = 2,883.68/x
  3. Step 3: Cross multiply
    2,895.92x = 3,962.16 × 2,883.68
  4. Step 4: Simplify right side
    2,895.92x = 11,425,601.55
  5. Step 5: Solve for x
    x = 11,425,601.55/2,895.92
  6. Step 6: Final answer
    x = 3,945.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.