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Finding the Fourth Proportional to 4,697.70, 6,481.76 and 2,808.96

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Solution

The fourth proportional to 4,697.70, 6,481.76 and 2,808.96 is: 3,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 6,481.76 = 2,808.96 : x
  2. Step 2: Convert to fraction form
    4,697.70/6,481.76 = 2,808.96/x
  3. Step 3: Cross multiply
    4,697.70x = 6,481.76 × 2,808.96
  4. Step 4: Simplify right side
    4,697.70x = 18,207,004.57
  5. Step 5: Solve for x
    x = 18,207,004.57/4,697.70
  6. Step 6: Final answer
    x = 3,875.73

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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.