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Finding the Fourth Proportional to 3,728.64, 5,593.65 and 1,536.18

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Solution

The fourth proportional to 3,728.64, 5,593.65 and 1,536.18 is: 2,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.64 : 5,593.65 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    3,728.64/5,593.65 = 1,536.18/x
  3. Step 3: Cross multiply
    3,728.64x = 5,593.65 × 1,536.18
  4. Step 4: Simplify right side
    3,728.64x = 8,592,853.26
  5. Step 5: Solve for x
    x = 8,592,853.26/3,728.64
  6. Step 6: Final answer
    x = 2,304.55

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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.