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Finding the Fourth Proportional to 3,770.95, 5,204.54 and 2,199.05

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Solution

The fourth proportional to 3,770.95, 5,204.54 and 2,199.05 is: 3,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.95 : 5,204.54 = 2,199.05 : x
  2. Step 2: Convert to fraction form
    3,770.95/5,204.54 = 2,199.05/x
  3. Step 3: Cross multiply
    3,770.95x = 5,204.54 × 2,199.05
  4. Step 4: Simplify right side
    3,770.95x = 11,445,006.67
  5. Step 5: Solve for x
    x = 11,445,006.67/3,770.95
  6. Step 6: Final answer
    x = 3,035.05

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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.