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Finding the Fourth Proportional to 3,856.60, 5,784.90 and 2,609.20

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Solution

The fourth proportional to 3,856.60, 5,784.90 and 2,609.20 is: 3,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.60 : 5,784.90 = 2,609.20 : x
  2. Step 2: Convert to fraction form
    3,856.60/5,784.90 = 2,609.20/x
  3. Step 3: Cross multiply
    3,856.60x = 5,784.90 × 2,609.20
  4. Step 4: Simplify right side
    3,856.60x = 15,093,961.08
  5. Step 5: Solve for x
    x = 15,093,961.08/3,856.60
  6. Step 6: Final answer
    x = 3,913.80

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Similar ratio
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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.