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Finding the Fourth Proportional to 5,808.97, 8,713.50 and 1,426.47

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Solution

The fourth proportional to 5,808.97, 8,713.50 and 1,426.47 is: 2,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.97 : 8,713.50 = 1,426.47 : x
  2. Step 2: Convert to fraction form
    5,808.97/8,713.50 = 1,426.47/x
  3. Step 3: Cross multiply
    5,808.97x = 8,713.50 × 1,426.47
  4. Step 4: Simplify right side
    5,808.97x = 12,429,546.35
  5. Step 5: Solve for x
    x = 12,429,546.35/5,808.97
  6. Step 6: Final answer
    x = 2,139.72

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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.