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Finding the Fourth Proportional to 5,269.32, 7,906.14 and 2,928.96

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Solution

The fourth proportional to 5,269.32, 7,906.14 and 2,928.96 is: 4,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.32 : 7,906.14 = 2,928.96 : x
  2. Step 2: Convert to fraction form
    5,269.32/7,906.14 = 2,928.96/x
  3. Step 3: Cross multiply
    5,269.32x = 7,906.14 × 2,928.96
  4. Step 4: Simplify right side
    5,269.32x = 23,156,767.81
  5. Step 5: Solve for x
    x = 23,156,767.81/5,269.32
  6. Step 6: Final answer
    x = 4,394.64

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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.