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Finding the Fourth Proportional to 3,537.92, 4,881.12 and 2,213.48

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Solution

The fourth proportional to 3,537.92, 4,881.12 and 2,213.48 is: 3,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.92 : 4,881.12 = 2,213.48 : x
  2. Step 2: Convert to fraction form
    3,537.92/4,881.12 = 2,213.48/x
  3. Step 3: Cross multiply
    3,537.92x = 4,881.12 × 2,213.48
  4. Step 4: Simplify right side
    3,537.92x = 10,804,261.50
  5. Step 5: Solve for x
    x = 10,804,261.50/3,537.92
  6. Step 6: Final answer
    x = 3,053.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.