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Finding the Fourth Proportional to 3,597.42, 4,932.06 and 3,531.82

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Solution

The fourth proportional to 3,597.42, 4,932.06 and 3,531.82 is: 4,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.42 : 4,932.06 = 3,531.82 : x
  2. Step 2: Convert to fraction form
    3,597.42/4,932.06 = 3,531.82/x
  3. Step 3: Cross multiply
    3,597.42x = 4,932.06 × 3,531.82
  4. Step 4: Simplify right side
    3,597.42x = 17,419,148.15
  5. Step 5: Solve for x
    x = 17,419,148.15/3,597.42
  6. Step 6: Final answer
    x = 4,842.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.