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Finding the Fourth Proportional to 3,775.95, 5,211.14 and 2,097.90

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Solution

The fourth proportional to 3,775.95, 5,211.14 and 2,097.90 is: 2,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.95 : 5,211.14 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    3,775.95/5,211.14 = 2,097.90/x
  3. Step 3: Cross multiply
    3,775.95x = 5,211.14 × 2,097.90
  4. Step 4: Simplify right side
    3,775.95x = 10,932,440.12
  5. Step 5: Solve for x
    x = 10,932,440.12/3,775.95
  6. Step 6: Final answer
    x = 2,895.28

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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.