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Finding the Fourth Proportional to 8,870.92, 13,306.42 and 2,296.64

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Solution

The fourth proportional to 8,870.92, 13,306.42 and 2,296.64 is: 3,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,870.92 : 13,306.42 = 2,296.64 : x
  2. Step 2: Convert to fraction form
    8,870.92/13,306.42 = 2,296.64/x
  3. Step 3: Cross multiply
    8,870.92x = 13,306.42 × 2,296.64
  4. Step 4: Simplify right side
    8,870.92x = 30,560,056.43
  5. Step 5: Solve for x
    x = 30,560,056.43/8,870.92
  6. Step 6: Final answer
    x = 3,444.97

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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.