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Finding the Fourth Proportional to 5,589.83, 8,384.72 and 1,429.84

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Solution

The fourth proportional to 5,589.83, 8,384.72 and 1,429.84 is: 2,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.83 : 8,384.72 = 1,429.84 : x
  2. Step 2: Convert to fraction form
    5,589.83/8,384.72 = 1,429.84/x
  3. Step 3: Cross multiply
    5,589.83x = 8,384.72 × 1,429.84
  4. Step 4: Simplify right side
    5,589.83x = 11,988,766.12
  5. Step 5: Solve for x
    x = 11,988,766.12/5,589.83
  6. Step 6: Final answer
    x = 2,144.75

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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.