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Finding the Fourth Proportional to 3,782.56, 5,675.94 and 1,592.80

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Solution

The fourth proportional to 3,782.56, 5,675.94 and 1,592.80 is: 2,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.56 : 5,675.94 = 1,592.80 : x
  2. Step 2: Convert to fraction form
    3,782.56/5,675.94 = 1,592.80/x
  3. Step 3: Cross multiply
    3,782.56x = 5,675.94 × 1,592.80
  4. Step 4: Simplify right side
    3,782.56x = 9,040,637.23
  5. Step 5: Solve for x
    x = 9,040,637.23/3,782.56
  6. Step 6: Final answer
    x = 2,390.08

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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.