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Finding the Fourth Proportional to 4,923.84, 6,801.38 and 3,650.30

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Solution

The fourth proportional to 4,923.84, 6,801.38 and 3,650.30 is: 5,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.84 : 6,801.38 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    4,923.84/6,801.38 = 3,650.30/x
  3. Step 3: Cross multiply
    4,923.84x = 6,801.38 × 3,650.30
  4. Step 4: Simplify right side
    4,923.84x = 24,827,077.41
  5. Step 5: Solve for x
    x = 24,827,077.41/4,923.84
  6. Step 6: Final answer
    x = 5,042.22

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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.