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Finding the Fourth Proportional to 5,950.64, 8,913.83 and 2,821.16

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Solution

The fourth proportional to 5,950.64, 8,913.83 and 2,821.16 is: 4,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.64 : 8,913.83 = 2,821.16 : x
  2. Step 2: Convert to fraction form
    5,950.64/8,913.83 = 2,821.16/x
  3. Step 3: Cross multiply
    5,950.64x = 8,913.83 × 2,821.16
  4. Step 4: Simplify right side
    5,950.64x = 25,147,348.82
  5. Step 5: Solve for x
    x = 25,147,348.82/5,950.64
  6. Step 6: Final answer
    x = 4,225.99

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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.