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Finding the Fourth Proportional to 5,589.49, 8,384.22 and 1,429.51

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Solution

The fourth proportional to 5,589.49, 8,384.22 and 1,429.51 is: 2,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.49 : 8,384.22 = 1,429.51 : x
  2. Step 2: Convert to fraction form
    5,589.49/8,384.22 = 1,429.51/x
  3. Step 3: Cross multiply
    5,589.49x = 8,384.22 × 1,429.51
  4. Step 4: Simplify right side
    5,589.49x = 11,985,326.33
  5. Step 5: Solve for x
    x = 11,985,326.33/5,589.49
  6. Step 6: Final answer
    x = 2,144.26

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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.