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Finding the Fourth Proportional to 5,253.75, 7,880.87 and 1,744.08

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Solution

The fourth proportional to 5,253.75, 7,880.87 and 1,744.08 is: 2,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.75 : 7,880.87 = 1,744.08 : x
  2. Step 2: Convert to fraction form
    5,253.75/7,880.87 = 1,744.08/x
  3. Step 3: Cross multiply
    5,253.75x = 7,880.87 × 1,744.08
  4. Step 4: Simplify right side
    5,253.75x = 13,744,859.03
  5. Step 5: Solve for x
    x = 13,744,859.03/5,253.75
  6. Step 6: Final answer
    x = 2,616.20

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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.