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Finding the Fourth Proportional to 5,488.80, 8,232.84 and 1,593.60

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Solution

The fourth proportional to 5,488.80, 8,232.84 and 1,593.60 is: 2,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.80 : 8,232.84 = 1,593.60 : x
  2. Step 2: Convert to fraction form
    5,488.80/8,232.84 = 1,593.60/x
  3. Step 3: Cross multiply
    5,488.80x = 8,232.84 × 1,593.60
  4. Step 4: Simplify right side
    5,488.80x = 13,119,853.82
  5. Step 5: Solve for x
    x = 13,119,853.82/5,488.80
  6. Step 6: Final answer
    x = 2,390.30

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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.