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Finding the Fourth Proportional to 4,709.60, 6,499.44 and 2,821.48

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Solution

The fourth proportional to 4,709.60, 6,499.44 and 2,821.48 is: 3,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.60 : 6,499.44 = 2,821.48 : x
  2. Step 2: Convert to fraction form
    4,709.60/6,499.44 = 2,821.48/x
  3. Step 3: Cross multiply
    4,709.60x = 6,499.44 × 2,821.48
  4. Step 4: Simplify right side
    4,709.60x = 18,338,039.97
  5. Step 5: Solve for x
    x = 18,338,039.97/4,709.60
  6. Step 6: Final answer
    x = 3,893.76

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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.