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Finding the Fourth Proportional to 3,084.80, 4,627.92 and 893.57

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Solution

The fourth proportional to 3,084.80, 4,627.92 and 893.57 is: 1,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.80 : 4,627.92 = 893.57 : x
  2. Step 2: Convert to fraction form
    3,084.80/4,627.92 = 893.57/x
  3. Step 3: Cross multiply
    3,084.80x = 4,627.92 × 893.57
  4. Step 4: Simplify right side
    3,084.80x = 4,135,370.47
  5. Step 5: Solve for x
    x = 4,135,370.47/3,084.80
  6. Step 6: Final answer
    x = 1,340.56

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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.