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Finding the Fourth Proportional to 3,770.94, 5,655.10 and 1,305.10

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Solution

The fourth proportional to 3,770.94, 5,655.10 and 1,305.10 is: 1,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.94 : 5,655.10 = 1,305.10 : x
  2. Step 2: Convert to fraction form
    3,770.94/5,655.10 = 1,305.10/x
  3. Step 3: Cross multiply
    3,770.94x = 5,655.10 × 1,305.10
  4. Step 4: Simplify right side
    3,770.94x = 7,380,471.01
  5. Step 5: Solve for x
    x = 7,380,471.01/3,770.94
  6. Step 6: Final answer
    x = 1,957.20

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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.