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Finding the Fourth Proportional to 5,221.57, 7,205.91 and 2,983.81

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Solution

The fourth proportional to 5,221.57, 7,205.91 and 2,983.81 is: 4,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.57 : 7,205.91 = 2,983.81 : x
  2. Step 2: Convert to fraction form
    5,221.57/7,205.91 = 2,983.81/x
  3. Step 3: Cross multiply
    5,221.57x = 7,205.91 × 2,983.81
  4. Step 4: Simplify right side
    5,221.57x = 21,501,037.11
  5. Step 5: Solve for x
    x = 21,501,037.11/5,221.57
  6. Step 6: Final answer
    x = 4,117.74

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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.