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Finding the Fourth Proportional to 4,767.24, 7,118.25 and 4,270.44

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Solution

The fourth proportional to 4,767.24, 7,118.25 and 4,270.44 is: 6,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.24 : 7,118.25 = 4,270.44 : x
  2. Step 2: Convert to fraction form
    4,767.24/7,118.25 = 4,270.44/x
  3. Step 3: Cross multiply
    4,767.24x = 7,118.25 × 4,270.44
  4. Step 4: Simplify right side
    4,767.24x = 30,398,059.53
  5. Step 5: Solve for x
    x = 30,398,059.53/4,767.24
  6. Step 6: Final answer
    x = 6,376.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.