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Finding the Fourth Proportional to 5,825.80, 8,692.43 and 5,412.88

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Solution

The fourth proportional to 5,825.80, 8,692.43 and 5,412.88 is: 8,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.80 : 8,692.43 = 5,412.88 : x
  2. Step 2: Convert to fraction form
    5,825.80/8,692.43 = 5,412.88/x
  3. Step 3: Cross multiply
    5,825.80x = 8,692.43 × 5,412.88
  4. Step 4: Simplify right side
    5,825.80x = 47,051,080.50
  5. Step 5: Solve for x
    x = 47,051,080.50/5,825.80
  6. Step 6: Final answer
    x = 8,076.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.