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Finding the Fourth Proportional to 5,649.60, 8,474.40 and 3,806.40

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Solution

The fourth proportional to 5,649.60, 8,474.40 and 3,806.40 is: 5,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.60 : 8,474.40 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    5,649.60/8,474.40 = 3,806.40/x
  3. Step 3: Cross multiply
    5,649.60x = 8,474.40 × 3,806.40
  4. Step 4: Simplify right side
    5,649.60x = 32,256,956.16
  5. Step 5: Solve for x
    x = 32,256,956.16/5,649.60
  6. Step 6: Final answer
    x = 5,709.60

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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.