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Finding the Fourth Proportional to 5,204.54, 7,797.08 and 4,047.86

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Solution

The fourth proportional to 5,204.54, 7,797.08 and 4,047.86 is: 6,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.54 : 7,797.08 = 4,047.86 : x
  2. Step 2: Convert to fraction form
    5,204.54/7,797.08 = 4,047.86/x
  3. Step 3: Cross multiply
    5,204.54x = 7,797.08 × 4,047.86
  4. Step 4: Simplify right side
    5,204.54x = 31,561,488.25
  5. Step 5: Solve for x
    x = 31,561,488.25/5,204.54
  6. Step 6: Final answer
    x = 6,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.