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Finding the Fourth Proportional to 3,394.37, 5,091.87 and 1,054.40

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Solution

The fourth proportional to 3,394.37, 5,091.87 and 1,054.40 is: 1,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.37 : 5,091.87 = 1,054.40 : x
  2. Step 2: Convert to fraction form
    3,394.37/5,091.87 = 1,054.40/x
  3. Step 3: Cross multiply
    3,394.37x = 5,091.87 × 1,054.40
  4. Step 4: Simplify right side
    3,394.37x = 5,368,842.27
  5. Step 5: Solve for x
    x = 5,368,842.27/3,394.37
  6. Step 6: Final answer
    x = 1,581.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.