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Finding the Fourth Proportional to 6,284.39, 8,678.24 and 4,050.10

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Solution

The fourth proportional to 6,284.39, 8,678.24 and 4,050.10 is: 5,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.39 : 8,678.24 = 4,050.10 : x
  2. Step 2: Convert to fraction form
    6,284.39/8,678.24 = 4,050.10/x
  3. Step 3: Cross multiply
    6,284.39x = 8,678.24 × 4,050.10
  4. Step 4: Simplify right side
    6,284.39x = 35,147,745.61
  5. Step 5: Solve for x
    x = 35,147,745.61/6,284.39
  6. Step 6: Final answer
    x = 5,592.87

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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.