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Finding the Fourth Proportional to 4,172.68, 5,753.46 and 3,384.28

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Solution

The fourth proportional to 4,172.68, 5,753.46 and 3,384.28 is: 4,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.68 : 5,753.46 = 3,384.28 : x
  2. Step 2: Convert to fraction form
    4,172.68/5,753.46 = 3,384.28/x
  3. Step 3: Cross multiply
    4,172.68x = 5,753.46 × 3,384.28
  4. Step 4: Simplify right side
    4,172.68x = 19,471,319.61
  5. Step 5: Solve for x
    x = 19,471,319.61/4,172.68
  6. Step 6: Final answer
    x = 4,666.38

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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.