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Finding the Fourth Proportional to 6,089.06, 8,402.94 and 3,294.56

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Solution

The fourth proportional to 6,089.06, 8,402.94 and 3,294.56 is: 4,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.06 : 8,402.94 = 3,294.56 : x
  2. Step 2: Convert to fraction form
    6,089.06/8,402.94 = 3,294.56/x
  3. Step 3: Cross multiply
    6,089.06x = 8,402.94 × 3,294.56
  4. Step 4: Simplify right side
    6,089.06x = 27,684,011.01
  5. Step 5: Solve for x
    x = 27,684,011.01/6,089.06
  6. Step 6: Final answer
    x = 4,546.51

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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.