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Finding the Fourth Proportional to 4,618.74, 6,373.83 and 2,629.28

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Solution

The fourth proportional to 4,618.74, 6,373.83 and 2,629.28 is: 3,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.74 : 6,373.83 = 2,629.28 : x
  2. Step 2: Convert to fraction form
    4,618.74/6,373.83 = 2,629.28/x
  3. Step 3: Cross multiply
    4,618.74x = 6,373.83 × 2,629.28
  4. Step 4: Simplify right side
    4,618.74x = 16,758,551.87
  5. Step 5: Solve for x
    x = 16,758,551.87/4,618.74
  6. Step 6: Final answer
    x = 3,628.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.