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Finding the Fourth Proportional to 3,356.82, 4,632.71 and 1,865.03

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Solution

The fourth proportional to 3,356.82, 4,632.71 and 1,865.03 is: 2,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.82 : 4,632.71 = 1,865.03 : x
  2. Step 2: Convert to fraction form
    3,356.82/4,632.71 = 1,865.03/x
  3. Step 3: Cross multiply
    3,356.82x = 4,632.71 × 1,865.03
  4. Step 4: Simplify right side
    3,356.82x = 8,640,110.64
  5. Step 5: Solve for x
    x = 8,640,110.64/3,356.82
  6. Step 6: Final answer
    x = 2,573.90

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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.