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Finding the Fourth Proportional to 3,495.70, 5,245.98 and 2,260.05

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Solution

The fourth proportional to 3,495.70, 5,245.98 and 2,260.05 is: 3,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.70 : 5,245.98 = 2,260.05 : x
  2. Step 2: Convert to fraction form
    3,495.70/5,245.98 = 2,260.05/x
  3. Step 3: Cross multiply
    3,495.70x = 5,245.98 × 2,260.05
  4. Step 4: Simplify right side
    3,495.70x = 11,856,177.10
  5. Step 5: Solve for x
    x = 11,856,177.10/3,495.70
  6. Step 6: Final answer
    x = 3,391.65

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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.