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Finding the Fourth Proportional to 3,508.61, 5,270.20 and 2,783.26

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Solution

The fourth proportional to 3,508.61, 5,270.20 and 2,783.26 is: 4,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.61 : 5,270.20 = 2,783.26 : x
  2. Step 2: Convert to fraction form
    3,508.61/5,270.20 = 2,783.26/x
  3. Step 3: Cross multiply
    3,508.61x = 5,270.20 × 2,783.26
  4. Step 4: Simplify right side
    3,508.61x = 14,668,310.50
  5. Step 5: Solve for x
    x = 14,668,310.50/3,508.61
  6. Step 6: Final answer
    x = 4,180.66

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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.