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Finding the Fourth Proportional to 4,561.54, 6,291.06 and 3,147.48

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Solution

The fourth proportional to 4,561.54, 6,291.06 and 3,147.48 is: 4,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.54 : 6,291.06 = 3,147.48 : x
  2. Step 2: Convert to fraction form
    4,561.54/6,291.06 = 3,147.48/x
  3. Step 3: Cross multiply
    4,561.54x = 6,291.06 × 3,147.48
  4. Step 4: Simplify right side
    4,561.54x = 19,800,973.73
  5. Step 5: Solve for x
    x = 19,800,973.73/4,561.54
  6. Step 6: Final answer
    x = 4,340.86

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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.