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Finding the Fourth Proportional to 4,612.66, 6,365.26 and 2,823.12

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Solution

The fourth proportional to 4,612.66, 6,365.26 and 2,823.12 is: 3,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.66 : 6,365.26 = 2,823.12 : x
  2. Step 2: Convert to fraction form
    4,612.66/6,365.26 = 2,823.12/x
  3. Step 3: Cross multiply
    4,612.66x = 6,365.26 × 2,823.12
  4. Step 4: Simplify right side
    4,612.66x = 17,969,892.81
  5. Step 5: Solve for x
    x = 17,969,892.81/4,612.66
  6. Step 6: Final answer
    x = 3,895.78

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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.