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Finding the Fourth Proportional to 3,686.70, 5,521.95 and 3,200.70

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Solution

The fourth proportional to 3,686.70, 5,521.95 and 3,200.70 is: 4,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.70 : 5,521.95 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    3,686.70/5,521.95 = 3,200.70/x
  3. Step 3: Cross multiply
    3,686.70x = 5,521.95 × 3,200.70
  4. Step 4: Simplify right side
    3,686.70x = 17,674,105.37
  5. Step 5: Solve for x
    x = 17,674,105.37/3,686.70
  6. Step 6: Final answer
    x = 4,794.02

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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.