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Finding the Fourth Proportional to 3,911.48, 5,853.24 and 3,397.54

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Solution

The fourth proportional to 3,911.48, 5,853.24 and 3,397.54 is: 5,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.48 : 5,853.24 = 3,397.54 : x
  2. Step 2: Convert to fraction form
    3,911.48/5,853.24 = 3,397.54/x
  3. Step 3: Cross multiply
    3,911.48x = 5,853.24 × 3,397.54
  4. Step 4: Simplify right side
    3,911.48x = 19,886,587.76
  5. Step 5: Solve for x
    x = 19,886,587.76/3,911.48
  6. Step 6: Final answer
    x = 5,084.16

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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.