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Finding the Fourth Proportional to 6,540.58, 9,025.59 and 3,669.15

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Solution

The fourth proportional to 6,540.58, 9,025.59 and 3,669.15 is: 5,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.58 : 9,025.59 = 3,669.15 : x
  2. Step 2: Convert to fraction form
    6,540.58/9,025.59 = 3,669.15/x
  3. Step 3: Cross multiply
    6,540.58x = 9,025.59 × 3,669.15
  4. Step 4: Simplify right side
    6,540.58x = 33,116,240.38
  5. Step 5: Solve for x
    x = 33,116,240.38/6,540.58
  6. Step 6: Final answer
    x = 5,063.20

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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.