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Finding the Fourth Proportional to 3,769.70, 5,658.23 and 2,385.70

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Solution

The fourth proportional to 3,769.70, 5,658.23 and 2,385.70 is: 3,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.70 : 5,658.23 = 2,385.70 : x
  2. Step 2: Convert to fraction form
    3,769.70/5,658.23 = 2,385.70/x
  3. Step 3: Cross multiply
    3,769.70x = 5,658.23 × 2,385.70
  4. Step 4: Simplify right side
    3,769.70x = 13,498,831.13
  5. Step 5: Solve for x
    x = 13,498,831.13/3,769.70
  6. Step 6: Final answer
    x = 3,580.88

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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.