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Finding the Fourth Proportional to 3,137.80, 4,714.80 and 2,781.40

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Solution

The fourth proportional to 3,137.80, 4,714.80 and 2,781.40 is: 4,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,714.80 = 2,781.40 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,714.80 = 2,781.40/x
  3. Step 3: Cross multiply
    3,137.80x = 4,714.80 × 2,781.40
  4. Step 4: Simplify right side
    3,137.80x = 13,113,744.72
  5. Step 5: Solve for x
    x = 13,113,744.72/3,137.80
  6. Step 6: Final answer
    x = 4,179.28

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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.