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Finding the Fourth Proportional to 4,612.16, 6,918.21 and 1,149.41

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Solution

The fourth proportional to 4,612.16, 6,918.21 and 1,149.41 is: 1,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.16 : 6,918.21 = 1,149.41 : x
  2. Step 2: Convert to fraction form
    4,612.16/6,918.21 = 1,149.41/x
  3. Step 3: Cross multiply
    4,612.16x = 6,918.21 × 1,149.41
  4. Step 4: Simplify right side
    4,612.16x = 7,951,825.17
  5. Step 5: Solve for x
    x = 7,951,825.17/4,612.16
  6. Step 6: Final answer
    x = 1,724.10

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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.