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Finding the Fourth Proportional to 4,684.77, 6,466.44 and 2,892.82

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Solution

The fourth proportional to 4,684.77, 6,466.44 and 2,892.82 is: 3,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.77 : 6,466.44 = 2,892.82 : x
  2. Step 2: Convert to fraction form
    4,684.77/6,466.44 = 2,892.82/x
  3. Step 3: Cross multiply
    4,684.77x = 6,466.44 × 2,892.82
  4. Step 4: Simplify right side
    4,684.77x = 18,706,246.96
  5. Step 5: Solve for x
    x = 18,706,246.96/4,684.77
  6. Step 6: Final answer
    x = 3,992.99

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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.