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Finding the Fourth Proportional to 3,697.88, 5,548.62 and 1,508.12

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Solution

The fourth proportional to 3,697.88, 5,548.62 and 1,508.12 is: 2,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.88 : 5,548.62 = 1,508.12 : x
  2. Step 2: Convert to fraction form
    3,697.88/5,548.62 = 1,508.12/x
  3. Step 3: Cross multiply
    3,697.88x = 5,548.62 × 1,508.12
  4. Step 4: Simplify right side
    3,697.88x = 8,367,984.79
  5. Step 5: Solve for x
    x = 8,367,984.79/3,697.88
  6. Step 6: Final answer
    x = 2,262.91

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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.