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Finding the Fourth Proportional to 6,249.34, 8,624.19 and 4,233.37

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Solution

The fourth proportional to 6,249.34, 8,624.19 and 4,233.37 is: 5,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.34 : 8,624.19 = 4,233.37 : x
  2. Step 2: Convert to fraction form
    6,249.34/8,624.19 = 4,233.37/x
  3. Step 3: Cross multiply
    6,249.34x = 8,624.19 × 4,233.37
  4. Step 4: Simplify right side
    6,249.34x = 36,509,411.87
  5. Step 5: Solve for x
    x = 36,509,411.87/6,249.34
  6. Step 6: Final answer
    x = 5,842.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.