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Finding the Fourth Proportional to 5,683.05, 7,843.70 and 3,446.15

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Solution

The fourth proportional to 5,683.05, 7,843.70 and 3,446.15 is: 4,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.05 : 7,843.70 = 3,446.15 : x
  2. Step 2: Convert to fraction form
    5,683.05/7,843.70 = 3,446.15/x
  3. Step 3: Cross multiply
    5,683.05x = 7,843.70 × 3,446.15
  4. Step 4: Simplify right side
    5,683.05x = 27,030,510.31
  5. Step 5: Solve for x
    x = 27,030,510.31/5,683.05
  6. Step 6: Final answer
    x = 4,756.34

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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.