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Finding the Fourth Proportional to 5,202.88, 7,806.08 and 3,252.80

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Solution

The fourth proportional to 5,202.88, 7,806.08 and 3,252.80 is: 4,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.88 : 7,806.08 = 3,252.80 : x
  2. Step 2: Convert to fraction form
    5,202.88/7,806.08 = 3,252.80/x
  3. Step 3: Cross multiply
    5,202.88x = 7,806.08 × 3,252.80
  4. Step 4: Simplify right side
    5,202.88x = 25,391,617.02
  5. Step 5: Solve for x
    x = 25,391,617.02/5,202.88
  6. Step 6: Final answer
    x = 4,880.30

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1.5x scale

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.