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Finding the Fourth Proportional to 4,709.79, 6,500.61 and 2,822.49

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Solution

The fourth proportional to 4,709.79, 6,500.61 and 2,822.49 is: 3,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.79 : 6,500.61 = 2,822.49 : x
  2. Step 2: Convert to fraction form
    4,709.79/6,500.61 = 2,822.49/x
  3. Step 3: Cross multiply
    4,709.79x = 6,500.61 × 2,822.49
  4. Step 4: Simplify right side
    4,709.79x = 18,347,906.72
  5. Step 5: Solve for x
    x = 18,347,906.72/4,709.79
  6. Step 6: Final answer
    x = 3,895.70

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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.