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Finding the Fourth Proportional to 4,357.78, 6,019.86 and 3,472.54

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Solution

The fourth proportional to 4,357.78, 6,019.86 and 3,472.54 is: 4,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.78 : 6,019.86 = 3,472.54 : x
  2. Step 2: Convert to fraction form
    4,357.78/6,019.86 = 3,472.54/x
  3. Step 3: Cross multiply
    4,357.78x = 6,019.86 × 3,472.54
  4. Step 4: Simplify right side
    4,357.78x = 20,904,204.64
  5. Step 5: Solve for x
    x = 20,904,204.64/4,357.78
  6. Step 6: Final answer
    x = 4,796.98

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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.