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Finding the Fourth Proportional to 3,774.42, 5,208.63 and 2,095.80

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Solution

The fourth proportional to 3,774.42, 5,208.63 and 2,095.80 is: 2,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.42 : 5,208.63 = 2,095.80 : x
  2. Step 2: Convert to fraction form
    3,774.42/5,208.63 = 2,095.80/x
  3. Step 3: Cross multiply
    3,774.42x = 5,208.63 × 2,095.80
  4. Step 4: Simplify right side
    3,774.42x = 10,916,246.75
  5. Step 5: Solve for x
    x = 10,916,246.75/3,774.42
  6. Step 6: Final answer
    x = 2,892.17

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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.