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Finding the Fourth Proportional to 5,296.45, 7,950.41 and 3,983.95

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Solution

The fourth proportional to 5,296.45, 7,950.41 and 3,983.95 is: 5,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.45 : 7,950.41 = 3,983.95 : x
  2. Step 2: Convert to fraction form
    5,296.45/7,950.41 = 3,983.95/x
  3. Step 3: Cross multiply
    5,296.45x = 7,950.41 × 3,983.95
  4. Step 4: Simplify right side
    5,296.45x = 31,674,035.92
  5. Step 5: Solve for x
    x = 31,674,035.92/5,296.45
  6. Step 6: Final answer
    x = 5,980.24

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Why These Related Problems?

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