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Finding the Fourth Proportional to 5,589.41, 8,373.17 and 4,284.50

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Solution

The fourth proportional to 5,589.41, 8,373.17 and 4,284.50 is: 6,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.41 : 8,373.17 = 4,284.50 : x
  2. Step 2: Convert to fraction form
    5,589.41/8,373.17 = 4,284.50/x
  3. Step 3: Cross multiply
    5,589.41x = 8,373.17 × 4,284.50
  4. Step 4: Simplify right side
    5,589.41x = 35,874,815.71
  5. Step 5: Solve for x
    x = 35,874,815.71/5,589.41
  6. Step 6: Final answer
    x = 6,418.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.