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Finding the Fourth Proportional to 4,714.80, 7,079.40 and 2,770.80

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Solution

The fourth proportional to 4,714.80, 7,079.40 and 2,770.80 is: 4,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.80 : 7,079.40 = 2,770.80 : x
  2. Step 2: Convert to fraction form
    4,714.80/7,079.40 = 2,770.80/x
  3. Step 3: Cross multiply
    4,714.80x = 7,079.40 × 2,770.80
  4. Step 4: Simplify right side
    4,714.80x = 19,615,601.52
  5. Step 5: Solve for x
    x = 19,615,601.52/4,714.80
  6. Step 6: Final answer
    x = 4,160.43

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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.