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Finding the Fourth Proportional to 5,612.23, 8,420.78 and 3,012.13

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Solution

The fourth proportional to 5,612.23, 8,420.78 and 3,012.13 is: 4,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.23 : 8,420.78 = 3,012.13 : x
  2. Step 2: Convert to fraction form
    5,612.23/8,420.78 = 3,012.13/x
  3. Step 3: Cross multiply
    5,612.23x = 8,420.78 × 3,012.13
  4. Step 4: Simplify right side
    5,612.23x = 25,364,469.00
  5. Step 5: Solve for x
    x = 25,364,469.00/5,612.23
  6. Step 6: Final answer
    x = 4,519.50

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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.