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Finding the Fourth Proportional to 6,422.43, 8,862.84 and 3,589.63

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Solution

The fourth proportional to 6,422.43, 8,862.84 and 3,589.63 is: 4,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.43 : 8,862.84 = 3,589.63 : x
  2. Step 2: Convert to fraction form
    6,422.43/8,862.84 = 3,589.63/x
  3. Step 3: Cross multiply
    6,422.43x = 8,862.84 × 3,589.63
  4. Step 4: Simplify right side
    6,422.43x = 31,814,316.35
  5. Step 5: Solve for x
    x = 31,814,316.35/6,422.43
  6. Step 6: Final answer
    x = 4,953.63

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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.