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Finding the Fourth Proportional to 3,909.58, 5,866.68 and 1,446.13

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Solution

The fourth proportional to 3,909.58, 5,866.68 and 1,446.13 is: 2,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.58 : 5,866.68 = 1,446.13 : x
  2. Step 2: Convert to fraction form
    3,909.58/5,866.68 = 1,446.13/x
  3. Step 3: Cross multiply
    3,909.58x = 5,866.68 × 1,446.13
  4. Step 4: Simplify right side
    3,909.58x = 8,483,981.95
  5. Step 5: Solve for x
    x = 8,483,981.95/3,909.58
  6. Step 6: Final answer
    x = 2,170.05

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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.