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Finding the Fourth Proportional to 5,822.70, 8,734.05 and 2,123.70

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Solution

The fourth proportional to 5,822.70, 8,734.05 and 2,123.70 is: 3,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.70 : 8,734.05 = 2,123.70 : x
  2. Step 2: Convert to fraction form
    5,822.70/8,734.05 = 2,123.70/x
  3. Step 3: Cross multiply
    5,822.70x = 8,734.05 × 2,123.70
  4. Step 4: Simplify right side
    5,822.70x = 18,548,501.99
  5. Step 5: Solve for x
    x = 18,548,501.99/5,822.70
  6. Step 6: Final answer
    x = 3,185.55

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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.