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Finding the Fourth Proportional to 3,909.60, 5,866.70 and 1,446.16

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Solution

The fourth proportional to 3,909.60, 5,866.70 and 1,446.16 is: 2,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.60 : 5,866.70 = 1,446.16 : x
  2. Step 2: Convert to fraction form
    3,909.60/5,866.70 = 1,446.16/x
  3. Step 3: Cross multiply
    3,909.60x = 5,866.70 × 1,446.16
  4. Step 4: Simplify right side
    3,909.60x = 8,484,186.87
  5. Step 5: Solve for x
    x = 8,484,186.87/3,909.60
  6. Step 6: Final answer
    x = 2,170.09

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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.