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Finding the Fourth Proportional to 4,612.86, 6,356.52 and 3,213.18

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Solution

The fourth proportional to 4,612.86, 6,356.52 and 3,213.18 is: 4,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.86 : 6,356.52 = 3,213.18 : x
  2. Step 2: Convert to fraction form
    4,612.86/6,356.52 = 3,213.18/x
  3. Step 3: Cross multiply
    4,612.86x = 6,356.52 × 3,213.18
  4. Step 4: Simplify right side
    4,612.86x = 20,424,642.93
  5. Step 5: Solve for x
    x = 20,424,642.93/4,612.86
  6. Step 6: Final answer
    x = 4,427.76

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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.