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Finding the Fourth Proportional to 5,951.83, 8,213.10 and 3,298.99

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Solution

The fourth proportional to 5,951.83, 8,213.10 and 3,298.99 is: 4,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.83 : 8,213.10 = 3,298.99 : x
  2. Step 2: Convert to fraction form
    5,951.83/8,213.10 = 3,298.99/x
  3. Step 3: Cross multiply
    5,951.83x = 8,213.10 × 3,298.99
  4. Step 4: Simplify right side
    5,951.83x = 27,094,934.77
  5. Step 5: Solve for x
    x = 27,094,934.77/5,951.83
  6. Step 6: Final answer
    x = 4,552.37

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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.