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Finding the Fourth Proportional to 5,535.01, 7,648.02 and 4,425.11

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Solution

The fourth proportional to 5,535.01, 7,648.02 and 4,425.11 is: 6,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.01 : 7,648.02 = 4,425.11 : x
  2. Step 2: Convert to fraction form
    5,535.01/7,648.02 = 4,425.11/x
  3. Step 3: Cross multiply
    5,535.01x = 7,648.02 × 4,425.11
  4. Step 4: Simplify right side
    5,535.01x = 33,843,329.78
  5. Step 5: Solve for x
    x = 33,843,329.78/5,535.01
  6. Step 6: Final answer
    x = 6,114.41

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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.