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Finding the Fourth Proportional to 5,806.70, 8,706.45 and 3,340.30

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Solution

The fourth proportional to 5,806.70, 8,706.45 and 3,340.30 is: 5,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.70 : 8,706.45 = 3,340.30 : x
  2. Step 2: Convert to fraction form
    5,806.70/8,706.45 = 3,340.30/x
  3. Step 3: Cross multiply
    5,806.70x = 8,706.45 × 3,340.30
  4. Step 4: Simplify right side
    5,806.70x = 29,082,154.94
  5. Step 5: Solve for x
    x = 29,082,154.94/5,806.70
  6. Step 6: Final answer
    x = 5,008.38

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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.