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Finding the Fourth Proportional to 5,944.16, 8,916.96 and 2,864

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Solution

The fourth proportional to 5,944.16, 8,916.96 and 2,864 is: 4,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.16 : 8,916.96 = 2,864 : x
  2. Step 2: Convert to fraction form
    5,944.16/8,916.96 = 2,864/x
  3. Step 3: Cross multiply
    5,944.16x = 8,916.96 × 2,864
  4. Step 4: Simplify right side
    5,944.16x = 25,538,173.44
  5. Step 5: Solve for x
    x = 25,538,173.44/5,944.16
  6. Step 6: Final answer
    x = 4,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.