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Finding the Fourth Proportional to 6,589.22, 9,088.00 and 4,231.58

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Solution

The fourth proportional to 6,589.22, 9,088.00 and 4,231.58 is: 5,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.22 : 9,088.00 = 4,231.58 : x
  2. Step 2: Convert to fraction form
    6,589.22/9,088.00 = 4,231.58/x
  3. Step 3: Cross multiply
    6,589.22x = 9,088.00 × 4,231.58
  4. Step 4: Simplify right side
    6,589.22x = 38,456,543.02
  5. Step 5: Solve for x
    x = 38,456,543.02/6,589.22
  6. Step 6: Final answer
    x = 5,836.29

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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.