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Finding the Fourth Proportional to 6,589.83, 9,887.04 and 3,302.19

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Solution

The fourth proportional to 6,589.83, 9,887.04 and 3,302.19 is: 4,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.83 : 9,887.04 = 3,302.19 : x
  2. Step 2: Convert to fraction form
    6,589.83/9,887.04 = 3,302.19/x
  3. Step 3: Cross multiply
    6,589.83x = 9,887.04 × 3,302.19
  4. Step 4: Simplify right side
    6,589.83x = 32,648,884.62
  5. Step 5: Solve for x
    x = 32,648,884.62/6,589.83
  6. Step 6: Final answer
    x = 4,954.44

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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.