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Finding the Fourth Proportional to 4,993.94, 6,890.10 and 2,897.66

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Solution

The fourth proportional to 4,993.94, 6,890.10 and 2,897.66 is: 3,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.94 : 6,890.10 = 2,897.66 : x
  2. Step 2: Convert to fraction form
    4,993.94/6,890.10 = 2,897.66/x
  3. Step 3: Cross multiply
    4,993.94x = 6,890.10 × 2,897.66
  4. Step 4: Simplify right side
    4,993.94x = 19,965,132.72
  5. Step 5: Solve for x
    x = 19,965,132.72/4,993.94
  6. Step 6: Final answer
    x = 3,997.88

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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.