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Finding the Fourth Proportional to 3,770.96, 5,205.44 and 2,445.76

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Solution

The fourth proportional to 3,770.96, 5,205.44 and 2,445.76 is: 3,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.96 : 5,205.44 = 2,445.76 : x
  2. Step 2: Convert to fraction form
    3,770.96/5,205.44 = 2,445.76/x
  3. Step 3: Cross multiply
    3,770.96x = 5,205.44 × 2,445.76
  4. Step 4: Simplify right side
    3,770.96x = 12,731,256.93
  5. Step 5: Solve for x
    x = 12,731,256.93/3,770.96
  6. Step 6: Final answer
    x = 3,376.13

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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.