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Finding the Fourth Proportional to 3,898.40, 5,847.60 and 3,412.40

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Solution

The fourth proportional to 3,898.40, 5,847.60 and 3,412.40 is: 5,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.40 : 5,847.60 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    3,898.40/5,847.60 = 3,412.40/x
  3. Step 3: Cross multiply
    3,898.40x = 5,847.60 × 3,412.40
  4. Step 4: Simplify right side
    3,898.40x = 19,954,350.24
  5. Step 5: Solve for x
    x = 19,954,350.24/3,898.40
  6. Step 6: Final answer
    x = 5,118.60

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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.