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Finding the Fourth Proportional to 3,385.75, 5,078.58 and 886.93

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Solution

The fourth proportional to 3,385.75, 5,078.58 and 886.93 is: 1,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.75 : 5,078.58 = 886.93 : x
  2. Step 2: Convert to fraction form
    3,385.75/5,078.58 = 886.93/x
  3. Step 3: Cross multiply
    3,385.75x = 5,078.58 × 886.93
  4. Step 4: Simplify right side
    3,385.75x = 4,504,344.96
  5. Step 5: Solve for x
    x = 4,504,344.96/3,385.75
  6. Step 6: Final answer
    x = 1,330.38

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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.