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Finding the Fourth Proportional to 5,811.50, 8,717.02 and 2,301.36

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Solution

The fourth proportional to 5,811.50, 8,717.02 and 2,301.36 is: 3,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.50 : 8,717.02 = 2,301.36 : x
  2. Step 2: Convert to fraction form
    5,811.50/8,717.02 = 2,301.36/x
  3. Step 3: Cross multiply
    5,811.50x = 8,717.02 × 2,301.36
  4. Step 4: Simplify right side
    5,811.50x = 20,061,011.74
  5. Step 5: Solve for x
    x = 20,061,011.74/5,811.50
  6. Step 6: Final answer
    x = 3,451.95

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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.