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Finding the Fourth Proportional to 8,569.59, 12,855.41 and 3,021.80

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Solution

The fourth proportional to 8,569.59, 12,855.41 and 3,021.80 is: 4,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.59 : 12,855.41 = 3,021.80 : x
  2. Step 2: Convert to fraction form
    8,569.59/12,855.41 = 3,021.80/x
  3. Step 3: Cross multiply
    8,569.59x = 12,855.41 × 3,021.80
  4. Step 4: Simplify right side
    8,569.59x = 38,846,398.55
  5. Step 5: Solve for x
    x = 38,846,398.55/8,569.59
  6. Step 6: Final answer
    x = 4,533.05

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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.