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Finding the Fourth Proportional to 3,164.16, 4,724.64 and 2,832.96

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Solution

The fourth proportional to 3,164.16, 4,724.64 and 2,832.96 is: 4,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,724.64 = 2,832.96 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,724.64 = 2,832.96/x
  3. Step 3: Cross multiply
    3,164.16x = 4,724.64 × 2,832.96
  4. Step 4: Simplify right side
    3,164.16x = 13,384,716.13
  5. Step 5: Solve for x
    x = 13,384,716.13/3,164.16
  6. Step 6: Final answer
    x = 4,230.10

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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.