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Finding the Fourth Proportional to 4,612.16, 6,918.67 and 1,838.16

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Solution

The fourth proportional to 4,612.16, 6,918.67 and 1,838.16 is: 2,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.16 : 6,918.67 = 1,838.16 : x
  2. Step 2: Convert to fraction form
    4,612.16/6,918.67 = 1,838.16/x
  3. Step 3: Cross multiply
    4,612.16x = 6,918.67 × 1,838.16
  4. Step 4: Simplify right side
    4,612.16x = 12,717,622.45
  5. Step 5: Solve for x
    x = 12,717,622.45/4,612.16
  6. Step 6: Final answer
    x = 2,757.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.