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Finding the Fourth Proportional to 6,589.45, 9,878.22 and 2,426.63

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Solution

The fourth proportional to 6,589.45, 9,878.22 and 2,426.63 is: 3,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.45 : 9,878.22 = 2,426.63 : x
  2. Step 2: Convert to fraction form
    6,589.45/9,878.22 = 2,426.63/x
  3. Step 3: Cross multiply
    6,589.45x = 9,878.22 × 2,426.63
  4. Step 4: Simplify right side
    6,589.45x = 23,970,735.61
  5. Step 5: Solve for x
    x = 23,970,735.61/6,589.45
  6. Step 6: Final answer
    x = 3,637.74

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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.