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Finding the Fourth Proportional to 5,589.93, 8,385.19 and 1,429.98

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Solution

The fourth proportional to 5,589.93, 8,385.19 and 1,429.98 is: 2,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.93 : 8,385.19 = 1,429.98 : x
  2. Step 2: Convert to fraction form
    5,589.93/8,385.19 = 1,429.98/x
  3. Step 3: Cross multiply
    5,589.93x = 8,385.19 × 1,429.98
  4. Step 4: Simplify right side
    5,589.93x = 11,990,645.58
  5. Step 5: Solve for x
    x = 11,990,645.58/5,589.93
  6. Step 6: Final answer
    x = 2,145.04

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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.