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Finding the Fourth Proportional to 3,770.54, 5,644.86 and 2,305.25

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Solution

The fourth proportional to 3,770.54, 5,644.86 and 2,305.25 is: 3,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.54 : 5,644.86 = 2,305.25 : x
  2. Step 2: Convert to fraction form
    3,770.54/5,644.86 = 2,305.25/x
  3. Step 3: Cross multiply
    3,770.54x = 5,644.86 × 2,305.25
  4. Step 4: Simplify right side
    3,770.54x = 13,012,785.29
  5. Step 5: Solve for x
    x = 13,012,785.29/3,770.54
  6. Step 6: Final answer
    x = 3,451.18

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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.