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Finding the Fourth Proportional to 3,695.87, 5,544.48 and 1,748.07

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Solution

The fourth proportional to 3,695.87, 5,544.48 and 1,748.07 is: 2,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.87 : 5,544.48 = 1,748.07 : x
  2. Step 2: Convert to fraction form
    3,695.87/5,544.48 = 1,748.07/x
  3. Step 3: Cross multiply
    3,695.87x = 5,544.48 × 1,748.07
  4. Step 4: Simplify right side
    3,695.87x = 9,692,139.15
  5. Step 5: Solve for x
    x = 9,692,139.15/3,695.87
  6. Step 6: Final answer
    x = 2,622.43

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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.