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Finding the Fourth Proportional to 4,039, 5,574.82 and 2,468.42

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Solution

The fourth proportional to 4,039, 5,574.82 and 2,468.42 is: 3,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039 : 5,574.82 = 2,468.42 : x
  2. Step 2: Convert to fraction form
    4,039/5,574.82 = 2,468.42/x
  3. Step 3: Cross multiply
    4,039x = 5,574.82 × 2,468.42
  4. Step 4: Simplify right side
    4,039x = 13,760,997.18
  5. Step 5: Solve for x
    x = 13,760,997.18/4,039
  6. Step 6: Final answer
    x = 3,407.03

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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.