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Finding the Fourth Proportional to 5,660.57, 7,810.41 and 3,422.54

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Solution

The fourth proportional to 5,660.57, 7,810.41 and 3,422.54 is: 4,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.57 : 7,810.41 = 3,422.54 : x
  2. Step 2: Convert to fraction form
    5,660.57/7,810.41 = 3,422.54/x
  3. Step 3: Cross multiply
    5,660.57x = 7,810.41 × 3,422.54
  4. Step 4: Simplify right side
    5,660.57x = 26,731,429.07
  5. Step 5: Solve for x
    x = 26,731,429.07/5,660.57
  6. Step 6: Final answer
    x = 4,722.39

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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.