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Finding the Fourth Proportional to 4,144.50, 6,210.92 and 3,525.76

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Solution

The fourth proportional to 4,144.50, 6,210.92 and 3,525.76 is: 5,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.50 : 6,210.92 = 3,525.76 : x
  2. Step 2: Convert to fraction form
    4,144.50/6,210.92 = 3,525.76/x
  3. Step 3: Cross multiply
    4,144.50x = 6,210.92 × 3,525.76
  4. Step 4: Simplify right side
    4,144.50x = 21,898,202.18
  5. Step 5: Solve for x
    x = 21,898,202.18/4,144.50
  6. Step 6: Final answer
    x = 5,283.68

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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.