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Finding the Fourth Proportional to 5,321.96, 7,344.65 and 2,964.46

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Solution

The fourth proportional to 5,321.96, 7,344.65 and 2,964.46 is: 4,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.96 : 7,344.65 = 2,964.46 : x
  2. Step 2: Convert to fraction form
    5,321.96/7,344.65 = 2,964.46/x
  3. Step 3: Cross multiply
    5,321.96x = 7,344.65 × 2,964.46
  4. Step 4: Simplify right side
    5,321.96x = 21,772,921.14
  5. Step 5: Solve for x
    x = 21,772,921.14/5,321.96
  6. Step 6: Final answer
    x = 4,091.15

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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.