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Finding the Fourth Proportional to 3,518.62, 5,274.12 and 1,666.96

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Solution

The fourth proportional to 3,518.62, 5,274.12 and 1,666.96 is: 2,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.62 : 5,274.12 = 1,666.96 : x
  2. Step 2: Convert to fraction form
    3,518.62/5,274.12 = 1,666.96/x
  3. Step 3: Cross multiply
    3,518.62x = 5,274.12 × 1,666.96
  4. Step 4: Simplify right side
    3,518.62x = 8,791,747.08
  5. Step 5: Solve for x
    x = 8,791,747.08/3,518.62
  6. Step 6: Final answer
    x = 2,498.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.