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Finding the Fourth Proportional to 4,207.70, 5,806.50 and 2,636.66

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Solution

The fourth proportional to 4,207.70, 5,806.50 and 2,636.66 is: 3,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.70 : 5,806.50 = 2,636.66 : x
  2. Step 2: Convert to fraction form
    4,207.70/5,806.50 = 2,636.66/x
  3. Step 3: Cross multiply
    4,207.70x = 5,806.50 × 2,636.66
  4. Step 4: Simplify right side
    4,207.70x = 15,309,766.29
  5. Step 5: Solve for x
    x = 15,309,766.29/4,207.70
  6. Step 6: Final answer
    x = 3,638.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.