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Finding the Fourth Proportional to 3,597.64, 4,964.90 and 2,270.84

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Solution

The fourth proportional to 3,597.64, 4,964.90 and 2,270.84 is: 3,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.64 : 4,964.90 = 2,270.84 : x
  2. Step 2: Convert to fraction form
    3,597.64/4,964.90 = 2,270.84/x
  3. Step 3: Cross multiply
    3,597.64x = 4,964.90 × 2,270.84
  4. Step 4: Simplify right side
    3,597.64x = 11,274,493.52
  5. Step 5: Solve for x
    x = 11,274,493.52/3,597.64
  6. Step 6: Final answer
    x = 3,133.86

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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.