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Finding the Fourth Proportional to 3,774.47, 5,208.67 and 2,095.83

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Solution

The fourth proportional to 3,774.47, 5,208.67 and 2,095.83 is: 2,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.47 : 5,208.67 = 2,095.83 : x
  2. Step 2: Convert to fraction form
    3,774.47/5,208.67 = 2,095.83/x
  3. Step 3: Cross multiply
    3,774.47x = 5,208.67 × 2,095.83
  4. Step 4: Simplify right side
    3,774.47x = 10,916,485.00
  5. Step 5: Solve for x
    x = 10,916,485.00/3,774.47
  6. Step 6: Final answer
    x = 2,892.19

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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.