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Finding the Fourth Proportional to 6,540.84, 9,021.70 and 4,180.52

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Solution

The fourth proportional to 6,540.84, 9,021.70 and 4,180.52 is: 5,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.84 : 9,021.70 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    6,540.84/9,021.70 = 4,180.52/x
  3. Step 3: Cross multiply
    6,540.84x = 9,021.70 × 4,180.52
  4. Step 4: Simplify right side
    6,540.84x = 37,715,397.28
  5. Step 5: Solve for x
    x = 37,715,397.28/6,540.84
  6. Step 6: Final answer
    x = 5,766.14

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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.