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Finding the Fourth Proportional to 3,830.49, 5,740.67 and 3,733.90

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Solution

The fourth proportional to 3,830.49, 5,740.67 and 3,733.90 is: 5,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.49 : 5,740.67 = 3,733.90 : x
  2. Step 2: Convert to fraction form
    3,830.49/5,740.67 = 3,733.90/x
  3. Step 3: Cross multiply
    3,830.49x = 5,740.67 × 3,733.90
  4. Step 4: Simplify right side
    3,830.49x = 21,435,082.70
  5. Step 5: Solve for x
    x = 21,435,082.70/3,830.49
  6. Step 6: Final answer
    x = 5,595.91

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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.