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Finding the Fourth Proportional to 3,686.72, 5,530.20 and 1,378.16

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Solution

The fourth proportional to 3,686.72, 5,530.20 and 1,378.16 is: 2,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.72 : 5,530.20 = 1,378.16 : x
  2. Step 2: Convert to fraction form
    3,686.72/5,530.20 = 1,378.16/x
  3. Step 3: Cross multiply
    3,686.72x = 5,530.20 × 1,378.16
  4. Step 4: Simplify right side
    3,686.72x = 7,621,500.43
  5. Step 5: Solve for x
    x = 7,621,500.43/3,686.72
  6. Step 6: Final answer
    x = 2,067.28

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