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Finding the Fourth Proportional to 4,152.40, 6,229.62 and 3,420.44

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Solution

The fourth proportional to 4,152.40, 6,229.62 and 3,420.44 is: 5,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.40 : 6,229.62 = 3,420.44 : x
  2. Step 2: Convert to fraction form
    4,152.40/6,229.62 = 3,420.44/x
  3. Step 3: Cross multiply
    4,152.40x = 6,229.62 × 3,420.44
  4. Step 4: Simplify right side
    4,152.40x = 21,308,010.28
  5. Step 5: Solve for x
    x = 21,308,010.28/4,152.40
  6. Step 6: Final answer
    x = 5,131.50

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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.