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Finding the Fourth Proportional to 3,691.80, 5,536.80 and 2,047.50

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Solution

The fourth proportional to 3,691.80, 5,536.80 and 2,047.50 is: 3,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.80 : 5,536.80 = 2,047.50 : x
  2. Step 2: Convert to fraction form
    3,691.80/5,536.80 = 2,047.50/x
  3. Step 3: Cross multiply
    3,691.80x = 5,536.80 × 2,047.50
  4. Step 4: Simplify right side
    3,691.80x = 11,336,598
  5. Step 5: Solve for x
    x = 11,336,598/3,691.80
  6. Step 6: Final answer
    x = 3,070.75

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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.