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Finding the Fourth Proportional to 4,328.38, 5,968.47 and 2,754.46

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Solution

The fourth proportional to 4,328.38, 5,968.47 and 2,754.46 is: 3,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.38 : 5,968.47 = 2,754.46 : x
  2. Step 2: Convert to fraction form
    4,328.38/5,968.47 = 2,754.46/x
  3. Step 3: Cross multiply
    4,328.38x = 5,968.47 × 2,754.46
  4. Step 4: Simplify right side
    4,328.38x = 16,439,911.88
  5. Step 5: Solve for x
    x = 16,439,911.88/4,328.38
  6. Step 6: Final answer
    x = 3,798.17

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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.