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Finding the Fourth Proportional to 5,256.92, 7,883.16 and 2,884.40

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Solution

The fourth proportional to 5,256.92, 7,883.16 and 2,884.40 is: 4,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.92 : 7,883.16 = 2,884.40 : x
  2. Step 2: Convert to fraction form
    5,256.92/7,883.16 = 2,884.40/x
  3. Step 3: Cross multiply
    5,256.92x = 7,883.16 × 2,884.40
  4. Step 4: Simplify right side
    5,256.92x = 22,738,186.70
  5. Step 5: Solve for x
    x = 22,738,186.70/5,256.92
  6. Step 6: Final answer
    x = 4,325.38

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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.