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Finding the Fourth Proportional to 6,524.88, 9,004.26 and 3,540.66

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Solution

The fourth proportional to 6,524.88, 9,004.26 and 3,540.66 is: 4,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.88 : 9,004.26 = 3,540.66 : x
  2. Step 2: Convert to fraction form
    6,524.88/9,004.26 = 3,540.66/x
  3. Step 3: Cross multiply
    6,524.88x = 9,004.26 × 3,540.66
  4. Step 4: Simplify right side
    6,524.88x = 31,881,023.21
  5. Step 5: Solve for x
    x = 31,881,023.21/6,524.88
  6. Step 6: Final answer
    x = 4,886.07

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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.