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Finding the Fourth Proportional to 3,156.80, 4,735.20 and 2,843.60

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Solution

The fourth proportional to 3,156.80, 4,735.20 and 2,843.60 is: 4,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.80 : 4,735.20 = 2,843.60 : x
  2. Step 2: Convert to fraction form
    3,156.80/4,735.20 = 2,843.60/x
  3. Step 3: Cross multiply
    3,156.80x = 4,735.20 × 2,843.60
  4. Step 4: Simplify right side
    3,156.80x = 13,465,014.72
  5. Step 5: Solve for x
    x = 13,465,014.72/3,156.80
  6. Step 6: Final answer
    x = 4,265.40

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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.