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Finding the Fourth Proportional to 5,104.44, 7,646.92 and 3,458.16

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Solution

The fourth proportional to 5,104.44, 7,646.92 and 3,458.16 is: 5,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.44 : 7,646.92 = 3,458.16 : x
  2. Step 2: Convert to fraction form
    5,104.44/7,646.92 = 3,458.16/x
  3. Step 3: Cross multiply
    5,104.44x = 7,646.92 × 3,458.16
  4. Step 4: Simplify right side
    5,104.44x = 26,444,272.87
  5. Step 5: Solve for x
    x = 26,444,272.87/5,104.44
  6. Step 6: Final answer
    x = 5,180.64

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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.