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Finding the Fourth Proportional to 5,976.21, 8,242.84 and 4,608.42

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Solution

The fourth proportional to 5,976.21, 8,242.84 and 4,608.42 is: 6,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.21 : 8,242.84 = 4,608.42 : x
  2. Step 2: Convert to fraction form
    5,976.21/8,242.84 = 4,608.42/x
  3. Step 3: Cross multiply
    5,976.21x = 8,242.84 × 4,608.42
  4. Step 4: Simplify right side
    5,976.21x = 37,986,468.71
  5. Step 5: Solve for x
    x = 37,986,468.71/5,976.21
  6. Step 6: Final answer
    x = 6,356.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.