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Finding the Fourth Proportional to 3,685.50, 5,073.84 and 3,509.73

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Solution

The fourth proportional to 3,685.50, 5,073.84 and 3,509.73 is: 4,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.50 : 5,073.84 = 3,509.73 : x
  2. Step 2: Convert to fraction form
    3,685.50/5,073.84 = 3,509.73/x
  3. Step 3: Cross multiply
    3,685.50x = 5,073.84 × 3,509.73
  4. Step 4: Simplify right side
    3,685.50x = 17,807,808.46
  5. Step 5: Solve for x
    x = 17,807,808.46/3,685.50
  6. Step 6: Final answer
    x = 4,831.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.