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Finding the Fourth Proportional to 5,693.60, 8,540.40 and 4,138.40

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Solution

The fourth proportional to 5,693.60, 8,540.40 and 4,138.40 is: 6,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.60 : 8,540.40 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    5,693.60/8,540.40 = 4,138.40/x
  3. Step 3: Cross multiply
    5,693.60x = 8,540.40 × 4,138.40
  4. Step 4: Simplify right side
    5,693.60x = 35,343,591.36
  5. Step 5: Solve for x
    x = 35,343,591.36/5,693.60
  6. Step 6: Final answer
    x = 6,207.60

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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.