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Finding the Fourth Proportional to 4,950.69, 6,830.01 and 2,825.66

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Solution

The fourth proportional to 4,950.69, 6,830.01 and 2,825.66 is: 3,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.69 : 6,830.01 = 2,825.66 : x
  2. Step 2: Convert to fraction form
    4,950.69/6,830.01 = 2,825.66/x
  3. Step 3: Cross multiply
    4,950.69x = 6,830.01 × 2,825.66
  4. Step 4: Simplify right side
    4,950.69x = 19,299,251.91
  5. Step 5: Solve for x
    x = 19,299,251.91/4,950.69
  6. Step 6: Final answer
    x = 3,898.30

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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.