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Finding the Fourth Proportional to 3,498.34, 5,244.11 and 2,245.40

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Solution

The fourth proportional to 3,498.34, 5,244.11 and 2,245.40 is: 3,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.34 : 5,244.11 = 2,245.40 : x
  2. Step 2: Convert to fraction form
    3,498.34/5,244.11 = 2,245.40/x
  3. Step 3: Cross multiply
    3,498.34x = 5,244.11 × 2,245.40
  4. Step 4: Simplify right side
    3,498.34x = 11,775,113.37
  5. Step 5: Solve for x
    x = 11,775,113.37/3,498.34
  6. Step 6: Final answer
    x = 3,365.91

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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.