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Finding the Fourth Proportional to 3,774.56, 5,208.68 and 2,095.85

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Solution

The fourth proportional to 3,774.56, 5,208.68 and 2,095.85 is: 2,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.56 : 5,208.68 = 2,095.85 : x
  2. Step 2: Convert to fraction form
    3,774.56/5,208.68 = 2,095.85/x
  3. Step 3: Cross multiply
    3,774.56x = 5,208.68 × 2,095.85
  4. Step 4: Simplify right side
    3,774.56x = 10,916,575.46
  5. Step 5: Solve for x
    x = 10,916,575.46/3,774.56
  6. Step 6: Final answer
    x = 2,892.15

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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.