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Finding the Fourth Proportional to 4,861.60, 6,709.04 and 2,765.76

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Solution

The fourth proportional to 4,861.60, 6,709.04 and 2,765.76 is: 3,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.60 : 6,709.04 = 2,765.76 : x
  2. Step 2: Convert to fraction form
    4,861.60/6,709.04 = 2,765.76/x
  3. Step 3: Cross multiply
    4,861.60x = 6,709.04 × 2,765.76
  4. Step 4: Simplify right side
    4,861.60x = 18,555,594.47
  5. Step 5: Solve for x
    x = 18,555,594.47/4,861.60
  6. Step 6: Final answer
    x = 3,816.77

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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.