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Finding the Fourth Proportional to 4,336.95, 6,499.03 and 1,991.17

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Solution

The fourth proportional to 4,336.95, 6,499.03 and 1,991.17 is: 2,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.95 : 6,499.03 = 1,991.17 : x
  2. Step 2: Convert to fraction form
    4,336.95/6,499.03 = 1,991.17/x
  3. Step 3: Cross multiply
    4,336.95x = 6,499.03 × 1,991.17
  4. Step 4: Simplify right side
    4,336.95x = 12,940,673.57
  5. Step 5: Solve for x
    x = 12,940,673.57/4,336.95
  6. Step 6: Final answer
    x = 2,983.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.