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Finding the Fourth Proportional to 6,523.36, 9,002.08 and 3,539.08

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Solution

The fourth proportional to 6,523.36, 9,002.08 and 3,539.08 is: 4,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.36 : 9,002.08 = 3,539.08 : x
  2. Step 2: Convert to fraction form
    6,523.36/9,002.08 = 3,539.08/x
  3. Step 3: Cross multiply
    6,523.36x = 9,002.08 × 3,539.08
  4. Step 4: Simplify right side
    6,523.36x = 31,859,081.29
  5. Step 5: Solve for x
    x = 31,859,081.29/6,523.36
  6. Step 6: Final answer
    x = 4,883.85

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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.