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Finding the Fourth Proportional to 6,540.60, 9,803.70 and 3,419.40

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Solution

The fourth proportional to 6,540.60, 9,803.70 and 3,419.40 is: 5,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.60 : 9,803.70 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    6,540.60/9,803.70 = 3,419.40/x
  3. Step 3: Cross multiply
    6,540.60x = 9,803.70 × 3,419.40
  4. Step 4: Simplify right side
    6,540.60x = 33,522,771.78
  5. Step 5: Solve for x
    x = 33,522,771.78/6,540.60
  6. Step 6: Final answer
    x = 5,125.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.