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Finding the Fourth Proportional to 6,540.06, 9,020.52 and 4,150.74

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Solution

The fourth proportional to 6,540.06, 9,020.52 and 4,150.74 is: 5,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.06 : 9,020.52 = 4,150.74 : x
  2. Step 2: Convert to fraction form
    6,540.06/9,020.52 = 4,150.74/x
  3. Step 3: Cross multiply
    6,540.06x = 9,020.52 × 4,150.74
  4. Step 4: Simplify right side
    6,540.06x = 37,441,833.18
  5. Step 5: Solve for x
    x = 37,441,833.18/6,540.06
  6. Step 6: Final answer
    x = 5,725.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.