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Finding the Fourth Proportional to 3,770.46, 5,203.44 and 2,445.30

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Solution

The fourth proportional to 3,770.46, 5,203.44 and 2,445.30 is: 3,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.46 : 5,203.44 = 2,445.30 : x
  2. Step 2: Convert to fraction form
    3,770.46/5,203.44 = 2,445.30/x
  3. Step 3: Cross multiply
    3,770.46x = 5,203.44 × 2,445.30
  4. Step 4: Simplify right side
    3,770.46x = 12,723,971.83
  5. Step 5: Solve for x
    x = 12,723,971.83/3,770.46
  6. Step 6: Final answer
    x = 3,374.65

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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.