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Finding the Fourth Proportional to 6,490.17, 9,736.20 and 2,540.70

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Solution

The fourth proportional to 6,490.17, 9,736.20 and 2,540.70 is: 3,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.17 : 9,736.20 = 2,540.70 : x
  2. Step 2: Convert to fraction form
    6,490.17/9,736.20 = 2,540.70/x
  3. Step 3: Cross multiply
    6,490.17x = 9,736.20 × 2,540.70
  4. Step 4: Simplify right side
    6,490.17x = 24,736,763.34
  5. Step 5: Solve for x
    x = 24,736,763.34/6,490.17
  6. Step 6: Final answer
    x = 3,811.42

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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.