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Finding the Fourth Proportional to 3,774.09, 5,208.33 and 2,095.47

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Solution

The fourth proportional to 3,774.09, 5,208.33 and 2,095.47 is: 2,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.09 : 5,208.33 = 2,095.47 : x
  2. Step 2: Convert to fraction form
    3,774.09/5,208.33 = 2,095.47/x
  3. Step 3: Cross multiply
    3,774.09x = 5,208.33 × 2,095.47
  4. Step 4: Simplify right side
    3,774.09x = 10,913,899.27
  5. Step 5: Solve for x
    x = 10,913,899.27/3,774.09
  6. Step 6: Final answer
    x = 2,891.80

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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.