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Finding the Fourth Proportional to 4,933.66, 6,807.82 and 2,809.46

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Solution

The fourth proportional to 4,933.66, 6,807.82 and 2,809.46 is: 3,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.66 : 6,807.82 = 2,809.46 : x
  2. Step 2: Convert to fraction form
    4,933.66/6,807.82 = 2,809.46/x
  3. Step 3: Cross multiply
    4,933.66x = 6,807.82 × 2,809.46
  4. Step 4: Simplify right side
    4,933.66x = 19,126,297.98
  5. Step 5: Solve for x
    x = 19,126,297.98/4,933.66
  6. Step 6: Final answer
    x = 3,876.70

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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.