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Finding the Fourth Proportional to 4,287.50, 6,436.65 and 3,706.19

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Solution

The fourth proportional to 4,287.50, 6,436.65 and 3,706.19 is: 5,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.50 : 6,436.65 = 3,706.19 : x
  2. Step 2: Convert to fraction form
    4,287.50/6,436.65 = 3,706.19/x
  3. Step 3: Cross multiply
    4,287.50x = 6,436.65 × 3,706.19
  4. Step 4: Simplify right side
    4,287.50x = 23,855,447.86
  5. Step 5: Solve for x
    x = 23,855,447.86/4,287.50
  6. Step 6: Final answer
    x = 5,563.95

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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.