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Finding the Fourth Proportional to 6,089.64, 9,135.41 and 2,579.66

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Solution

The fourth proportional to 6,089.64, 9,135.41 and 2,579.66 is: 3,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.64 : 9,135.41 = 2,579.66 : x
  2. Step 2: Convert to fraction form
    6,089.64/9,135.41 = 2,579.66/x
  3. Step 3: Cross multiply
    6,089.64x = 9,135.41 × 2,579.66
  4. Step 4: Simplify right side
    6,089.64x = 23,566,212.53
  5. Step 5: Solve for x
    x = 23,566,212.53/6,089.64
  6. Step 6: Final answer
    x = 3,869.89

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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.