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Finding the Fourth Proportional to 5,363.86, 7,394.37 and 3,765.64

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Solution

The fourth proportional to 5,363.86, 7,394.37 and 3,765.64 is: 5,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.86 : 7,394.37 = 3,765.64 : x
  2. Step 2: Convert to fraction form
    5,363.86/7,394.37 = 3,765.64/x
  3. Step 3: Cross multiply
    5,363.86x = 7,394.37 × 3,765.64
  4. Step 4: Simplify right side
    5,363.86x = 27,844,563.35
  5. Step 5: Solve for x
    x = 27,844,563.35/5,363.86
  6. Step 6: Final answer
    x = 5,191.14

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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.