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Finding the Fourth Proportional to 3,700.38, 5,550.56 and 964.38

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Solution

The fourth proportional to 3,700.38, 5,550.56 and 964.38 is: 1,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.38 : 5,550.56 = 964.38 : x
  2. Step 2: Convert to fraction form
    3,700.38/5,550.56 = 964.38/x
  3. Step 3: Cross multiply
    3,700.38x = 5,550.56 × 964.38
  4. Step 4: Simplify right side
    3,700.38x = 5,352,823.71
  5. Step 5: Solve for x
    x = 5,352,823.71/3,700.38
  6. Step 6: Final answer
    x = 1,446.56

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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.