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Finding the Fourth Proportional to 5,227.65, 7,839.63 and 1,528.92

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Solution

The fourth proportional to 5,227.65, 7,839.63 and 1,528.92 is: 2,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.65 : 7,839.63 = 1,528.92 : x
  2. Step 2: Convert to fraction form
    5,227.65/7,839.63 = 1,528.92/x
  3. Step 3: Cross multiply
    5,227.65x = 7,839.63 × 1,528.92
  4. Step 4: Simplify right side
    5,227.65x = 11,986,167.10
  5. Step 5: Solve for x
    x = 11,986,167.10/5,227.65
  6. Step 6: Final answer
    x = 2,292.84

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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.