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Finding the Fourth Proportional to 4,617.49, 6,921.09 and 1,843.45

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Solution

The fourth proportional to 4,617.49, 6,921.09 and 1,843.45 is: 2,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.49 : 6,921.09 = 1,843.45 : x
  2. Step 2: Convert to fraction form
    4,617.49/6,921.09 = 1,843.45/x
  3. Step 3: Cross multiply
    4,617.49x = 6,921.09 × 1,843.45
  4. Step 4: Simplify right side
    4,617.49x = 12,758,683.36
  5. Step 5: Solve for x
    x = 12,758,683.36/4,617.49
  6. Step 6: Final answer
    x = 2,763.12

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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.