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Finding the Fourth Proportional to 4,602.77, 6,349.66 and 2,833.73

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Solution

The fourth proportional to 4,602.77, 6,349.66 and 2,833.73 is: 3,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.77 : 6,349.66 = 2,833.73 : x
  2. Step 2: Convert to fraction form
    4,602.77/6,349.66 = 2,833.73/x
  3. Step 3: Cross multiply
    4,602.77x = 6,349.66 × 2,833.73
  4. Step 4: Simplify right side
    4,602.77x = 17,993,222.03
  5. Step 5: Solve for x
    x = 17,993,222.03/4,602.77
  6. Step 6: Final answer
    x = 3,909.22

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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.