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Finding the Fourth Proportional to 5,055.44, 7,578 and 3,207.92

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Solution

The fourth proportional to 5,055.44, 7,578 and 3,207.92 is: 4,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.44 : 7,578 = 3,207.92 : x
  2. Step 2: Convert to fraction form
    5,055.44/7,578 = 3,207.92/x
  3. Step 3: Cross multiply
    5,055.44x = 7,578 × 3,207.92
  4. Step 4: Simplify right side
    5,055.44x = 24,309,617.76
  5. Step 5: Solve for x
    x = 24,309,617.76/5,055.44
  6. Step 6: Final answer
    x = 4,808.61

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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.