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Finding the Fourth Proportional to 6,523.71, 9,002.66 and 3,539.53

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Solution

The fourth proportional to 6,523.71, 9,002.66 and 3,539.53 is: 4,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.71 : 9,002.66 = 3,539.53 : x
  2. Step 2: Convert to fraction form
    6,523.71/9,002.66 = 3,539.53/x
  3. Step 3: Cross multiply
    6,523.71x = 9,002.66 × 3,539.53
  4. Step 4: Simplify right side
    6,523.71x = 31,865,185.15
  5. Step 5: Solve for x
    x = 31,865,185.15/6,523.71
  6. Step 6: Final answer
    x = 4,884.52

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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.