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Finding the Fourth Proportional to 3,563.52, 4,921.20 and 3,036.48

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Solution

The fourth proportional to 3,563.52, 4,921.20 and 3,036.48 is: 4,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.52 : 4,921.20 = 3,036.48 : x
  2. Step 2: Convert to fraction form
    3,563.52/4,921.20 = 3,036.48/x
  3. Step 3: Cross multiply
    3,563.52x = 4,921.20 × 3,036.48
  4. Step 4: Simplify right side
    3,563.52x = 14,943,125.38
  5. Step 5: Solve for x
    x = 14,943,125.38/3,563.52
  6. Step 6: Final answer
    x = 4,193.36

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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.