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Finding the Fourth Proportional to 4,049.52, 5,588.60 and 3,053.04

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Solution

The fourth proportional to 4,049.52, 5,588.60 and 3,053.04 is: 4,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.52 : 5,588.60 = 3,053.04 : x
  2. Step 2: Convert to fraction form
    4,049.52/5,588.60 = 3,053.04/x
  3. Step 3: Cross multiply
    4,049.52x = 5,588.60 × 3,053.04
  4. Step 4: Simplify right side
    4,049.52x = 17,062,204.08
  5. Step 5: Solve for x
    x = 17,062,204.08/4,049.52
  6. Step 6: Final answer
    x = 4,213.39

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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.