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Finding the Fourth Proportional to 5,298.82, 7,950.48 and 2,833

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Solution

The fourth proportional to 5,298.82, 7,950.48 and 2,833 is: 4,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.82 : 7,950.48 = 2,833 : x
  2. Step 2: Convert to fraction form
    5,298.82/7,950.48 = 2,833/x
  3. Step 3: Cross multiply
    5,298.82x = 7,950.48 × 2,833
  4. Step 4: Simplify right side
    5,298.82x = 22,523,709.84
  5. Step 5: Solve for x
    x = 22,523,709.84/5,298.82
  6. Step 6: Final answer
    x = 4,250.70

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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.