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Finding the Fourth Proportional to 4,591.86, 6,334.34 and 2,910.30

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Solution

The fourth proportional to 4,591.86, 6,334.34 and 2,910.30 is: 4,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.86 : 6,334.34 = 2,910.30 : x
  2. Step 2: Convert to fraction form
    4,591.86/6,334.34 = 2,910.30/x
  3. Step 3: Cross multiply
    4,591.86x = 6,334.34 × 2,910.30
  4. Step 4: Simplify right side
    4,591.86x = 18,434,829.70
  5. Step 5: Solve for x
    x = 18,434,829.70/4,591.86
  6. Step 6: Final answer
    x = 4,014.68

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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.