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Finding the Fourth Proportional to 3,405.42, 4,695.47 and 3,195.23

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Solution

The fourth proportional to 3,405.42, 4,695.47 and 3,195.23 is: 4,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.42 : 4,695.47 = 3,195.23 : x
  2. Step 2: Convert to fraction form
    3,405.42/4,695.47 = 3,195.23/x
  3. Step 3: Cross multiply
    3,405.42x = 4,695.47 × 3,195.23
  4. Step 4: Simplify right side
    3,405.42x = 15,003,067.15
  5. Step 5: Solve for x
    x = 15,003,067.15/3,405.42
  6. Step 6: Final answer
    x = 4,405.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.