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Finding the Fourth Proportional to 4,284.96, 5,910 and 3,109.92

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Solution

The fourth proportional to 4,284.96, 5,910 and 3,109.92 is: 4,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.96 : 5,910 = 3,109.92 : x
  2. Step 2: Convert to fraction form
    4,284.96/5,910 = 3,109.92/x
  3. Step 3: Cross multiply
    4,284.96x = 5,910 × 3,109.92
  4. Step 4: Simplify right side
    4,284.96x = 18,379,627.20
  5. Step 5: Solve for x
    x = 18,379,627.20/4,284.96
  6. Step 6: Final answer
    x = 4,289.33

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