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Finding the Fourth Proportional to 3,698.50, 5,102.40 and 2,440.96

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Solution

The fourth proportional to 3,698.50, 5,102.40 and 2,440.96 is: 3,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.50 : 5,102.40 = 2,440.96 : x
  2. Step 2: Convert to fraction form
    3,698.50/5,102.40 = 2,440.96/x
  3. Step 3: Cross multiply
    3,698.50x = 5,102.40 × 2,440.96
  4. Step 4: Simplify right side
    3,698.50x = 12,454,754.30
  5. Step 5: Solve for x
    x = 12,454,754.30/3,698.50
  6. Step 6: Final answer
    x = 3,367.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.