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Finding the Fourth Proportional to 5,701.80, 7,865.33 and 3,343.49

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Solution

The fourth proportional to 5,701.80, 7,865.33 and 3,343.49 is: 4,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.80 : 7,865.33 = 3,343.49 : x
  2. Step 2: Convert to fraction form
    5,701.80/7,865.33 = 3,343.49/x
  3. Step 3: Cross multiply
    5,701.80x = 7,865.33 × 3,343.49
  4. Step 4: Simplify right side
    5,701.80x = 26,297,596.16
  5. Step 5: Solve for x
    x = 26,297,596.16/5,701.80
  6. Step 6: Final answer
    x = 4,612.16

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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.