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Finding the Fourth Proportional to 3,496.06, 4,824 and 2,003.68

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Solution

The fourth proportional to 3,496.06, 4,824 and 2,003.68 is: 2,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.06 : 4,824 = 2,003.68 : x
  2. Step 2: Convert to fraction form
    3,496.06/4,824 = 2,003.68/x
  3. Step 3: Cross multiply
    3,496.06x = 4,824 × 2,003.68
  4. Step 4: Simplify right side
    3,496.06x = 9,665,752.32
  5. Step 5: Solve for x
    x = 9,665,752.32/3,496.06
  6. Step 6: Final answer
    x = 2,764.76

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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.