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Finding the Fourth Proportional to 3,770.70, 5,200.65 and 2,444.82

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Solution

The fourth proportional to 3,770.70, 5,200.65 and 2,444.82 is: 3,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.70 : 5,200.65 = 2,444.82 : x
  2. Step 2: Convert to fraction form
    3,770.70/5,200.65 = 2,444.82/x
  3. Step 3: Cross multiply
    3,770.70x = 5,200.65 × 2,444.82
  4. Step 4: Simplify right side
    3,770.70x = 12,714,653.13
  5. Step 5: Solve for x
    x = 12,714,653.13/3,770.70
  6. Step 6: Final answer
    x = 3,371.96

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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.