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Finding the Fourth Proportional to 5,662.63, 8,490.50 and 2,542.06

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Solution

The fourth proportional to 5,662.63, 8,490.50 and 2,542.06 is: 3,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.63 : 8,490.50 = 2,542.06 : x
  2. Step 2: Convert to fraction form
    5,662.63/8,490.50 = 2,542.06/x
  3. Step 3: Cross multiply
    5,662.63x = 8,490.50 × 2,542.06
  4. Step 4: Simplify right side
    5,662.63x = 21,583,367.87
  5. Step 5: Solve for x
    x = 21,583,367.87/5,662.63
  6. Step 6: Final answer
    x = 3,811.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.