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Finding the Fourth Proportional to 3,865.46, 5,798.19 and 943.73

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Solution

The fourth proportional to 3,865.46, 5,798.19 and 943.73 is: 1,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.46 : 5,798.19 = 943.73 : x
  2. Step 2: Convert to fraction form
    3,865.46/5,798.19 = 943.73/x
  3. Step 3: Cross multiply
    3,865.46x = 5,798.19 × 943.73
  4. Step 4: Simplify right side
    3,865.46x = 5,471,925.85
  5. Step 5: Solve for x
    x = 5,471,925.85/3,865.46
  6. Step 6: Final answer
    x = 1,415.60

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Similar ratio
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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.