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Finding the Fourth Proportional to 3,911.48, 5,853.24 and 3,397.53

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Solution

The fourth proportional to 3,911.48, 5,853.24 and 3,397.53 is: 5,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.48 : 5,853.24 = 3,397.53 : x
  2. Step 2: Convert to fraction form
    3,911.48/5,853.24 = 3,397.53/x
  3. Step 3: Cross multiply
    3,911.48x = 5,853.24 × 3,397.53
  4. Step 4: Simplify right side
    3,911.48x = 19,886,558.50
  5. Step 5: Solve for x
    x = 19,886,558.50/3,911.48
  6. Step 6: Final answer
    x = 5,084.15

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Why These Related Problems?

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