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Finding the Fourth Proportional to 5,242.36, 7,853.16 and 3,394.77

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Solution

The fourth proportional to 5,242.36, 7,853.16 and 3,394.77 is: 5,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.36 : 7,853.16 = 3,394.77 : x
  2. Step 2: Convert to fraction form
    5,242.36/7,853.16 = 3,394.77/x
  3. Step 3: Cross multiply
    5,242.36x = 7,853.16 × 3,394.77
  4. Step 4: Simplify right side
    5,242.36x = 26,659,680.33
  5. Step 5: Solve for x
    x = 26,659,680.33/5,242.36
  6. Step 6: Final answer
    x = 5,085.44

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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.