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Finding the Fourth Proportional to 5,669.80, 8,503.68 and 3,029.00

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Solution

The fourth proportional to 5,669.80, 8,503.68 and 3,029.00 is: 4,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.80 : 8,503.68 = 3,029.00 : x
  2. Step 2: Convert to fraction form
    5,669.80/8,503.68 = 3,029.00/x
  3. Step 3: Cross multiply
    5,669.80x = 8,503.68 × 3,029.00
  4. Step 4: Simplify right side
    5,669.80x = 25,757,615.56
  5. Step 5: Solve for x
    x = 25,757,615.56/5,669.80
  6. Step 6: Final answer
    x = 4,542.95

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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.