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Finding the Fourth Proportional to 5,897.14, 8,834.12 and 3,426.78

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Solution

The fourth proportional to 5,897.14, 8,834.12 and 3,426.78 is: 5,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.14 : 8,834.12 = 3,426.78 : x
  2. Step 2: Convert to fraction form
    5,897.14/8,834.12 = 3,426.78/x
  3. Step 3: Cross multiply
    5,897.14x = 8,834.12 × 3,426.78
  4. Step 4: Simplify right side
    5,897.14x = 30,272,585.73
  5. Step 5: Solve for x
    x = 30,272,585.73/5,897.14
  6. Step 6: Final answer
    x = 5,133.44

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1.5x scale

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.