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Finding the Fourth Proportional to 8,834.64, 13,251.54 and 2,594.40

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Solution

The fourth proportional to 8,834.64, 13,251.54 and 2,594.40 is: 3,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.64 : 13,251.54 = 2,594.40 : x
  2. Step 2: Convert to fraction form
    8,834.64/13,251.54 = 2,594.40/x
  3. Step 3: Cross multiply
    8,834.64x = 13,251.54 × 2,594.40
  4. Step 4: Simplify right side
    8,834.64x = 34,379,795.38
  5. Step 5: Solve for x
    x = 34,379,795.38/8,834.64
  6. Step 6: Final answer
    x = 3,891.48

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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.