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Finding the Fourth Proportional to 3,992.18, 5,509.22 and 2,313.59

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Solution

The fourth proportional to 3,992.18, 5,509.22 and 2,313.59 is: 3,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.18 : 5,509.22 = 2,313.59 : x
  2. Step 2: Convert to fraction form
    3,992.18/5,509.22 = 2,313.59/x
  3. Step 3: Cross multiply
    3,992.18x = 5,509.22 × 2,313.59
  4. Step 4: Simplify right side
    3,992.18x = 12,746,037.19
  5. Step 5: Solve for x
    x = 12,746,037.19/3,992.18
  6. Step 6: Final answer
    x = 3,192.76

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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.