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Finding the Fourth Proportional to 5,347.80, 7,380.09 and 2,990.09

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Solution

The fourth proportional to 5,347.80, 7,380.09 and 2,990.09 is: 4,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.80 : 7,380.09 = 2,990.09 : x
  2. Step 2: Convert to fraction form
    5,347.80/7,380.09 = 2,990.09/x
  3. Step 3: Cross multiply
    5,347.80x = 7,380.09 × 2,990.09
  4. Step 4: Simplify right side
    5,347.80x = 22,067,096.41
  5. Step 5: Solve for x
    x = 22,067,096.41/5,347.80
  6. Step 6: Final answer
    x = 4,126.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.