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Finding the Fourth Proportional to 5,541.79, 7,645.26 and 3,650.95

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Solution

The fourth proportional to 5,541.79, 7,645.26 and 3,650.95 is: 5,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.79 : 7,645.26 = 3,650.95 : x
  2. Step 2: Convert to fraction form
    5,541.79/7,645.26 = 3,650.95/x
  3. Step 3: Cross multiply
    5,541.79x = 7,645.26 × 3,650.95
  4. Step 4: Simplify right side
    5,541.79x = 27,912,462.00
  5. Step 5: Solve for x
    x = 27,912,462.00/5,541.79
  6. Step 6: Final answer
    x = 5,036.72

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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.