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Finding the Fourth Proportional to 6,002.91, 9,021.38 and 3,538.89

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Solution

The fourth proportional to 6,002.91, 9,021.38 and 3,538.89 is: 5,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.91 : 9,021.38 = 3,538.89 : x
  2. Step 2: Convert to fraction form
    6,002.91/9,021.38 = 3,538.89/x
  3. Step 3: Cross multiply
    6,002.91x = 9,021.38 × 3,538.89
  4. Step 4: Simplify right side
    6,002.91x = 31,925,653.77
  5. Step 5: Solve for x
    x = 31,925,653.77/6,002.91
  6. Step 6: Final answer
    x = 5,318.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.