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Finding the Fourth Proportional to 3,597.96, 4,964.51 and 2,105.94

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Solution

The fourth proportional to 3,597.96, 4,964.51 and 2,105.94 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.96 : 4,964.51 = 2,105.94 : x
  2. Step 2: Convert to fraction form
    3,597.96/4,964.51 = 2,105.94/x
  3. Step 3: Cross multiply
    3,597.96x = 4,964.51 × 2,105.94
  4. Step 4: Simplify right side
    3,597.96x = 10,454,965.45
  5. Step 5: Solve for x
    x = 10,454,965.45/3,597.96
  6. Step 6: Final answer
    x = 2,905.80

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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.