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Finding the Fourth Proportional to 5,806.10, 8,709.15 and 3,613.70

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Solution

The fourth proportional to 5,806.10, 8,709.15 and 3,613.70 is: 5,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.10 : 8,709.15 = 3,613.70 : x
  2. Step 2: Convert to fraction form
    5,806.10/8,709.15 = 3,613.70/x
  3. Step 3: Cross multiply
    5,806.10x = 8,709.15 × 3,613.70
  4. Step 4: Simplify right side
    5,806.10x = 31,472,255.36
  5. Step 5: Solve for x
    x = 31,472,255.36/5,806.10
  6. Step 6: Final answer
    x = 5,420.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.