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Finding the Fourth Proportional to 3,840, 5,728.08 and 3,776.58

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Solution

The fourth proportional to 3,840, 5,728.08 and 3,776.58 is: 5,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,728.08 = 3,776.58 : x
  2. Step 2: Convert to fraction form
    3,840/5,728.08 = 3,776.58/x
  3. Step 3: Cross multiply
    3,840x = 5,728.08 × 3,776.58
  4. Step 4: Simplify right side
    3,840x = 21,632,552.37
  5. Step 5: Solve for x
    x = 21,632,552.37/3,840
  6. Step 6: Final answer
    x = 5,633.48

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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.