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Finding the Fourth Proportional to 4,612.74, 6,366.16 and 4,219.08

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Solution

The fourth proportional to 4,612.74, 6,366.16 and 4,219.08 is: 5,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.74 : 6,366.16 = 4,219.08 : x
  2. Step 2: Convert to fraction form
    4,612.74/6,366.16 = 4,219.08/x
  3. Step 3: Cross multiply
    4,612.74x = 6,366.16 × 4,219.08
  4. Step 4: Simplify right side
    4,612.74x = 26,859,338.33
  5. Step 5: Solve for x
    x = 26,859,338.33/4,612.74
  6. Step 6: Final answer
    x = 5,822.86

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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.