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Finding the Fourth Proportional to 3,456.96, 5,153.52 and 3,180.48

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Solution

The fourth proportional to 3,456.96, 5,153.52 and 3,180.48 is: 4,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.96 : 5,153.52 = 3,180.48 : x
  2. Step 2: Convert to fraction form
    3,456.96/5,153.52 = 3,180.48/x
  3. Step 3: Cross multiply
    3,456.96x = 5,153.52 × 3,180.48
  4. Step 4: Simplify right side
    3,456.96x = 16,390,667.29
  5. Step 5: Solve for x
    x = 16,390,667.29/3,456.96
  6. Step 6: Final answer
    x = 4,741.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.