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Finding the Fourth Proportional to 3,220.52, 4,826.04 and 1,439.42

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Solution

The fourth proportional to 3,220.52, 4,826.04 and 1,439.42 is: 2,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.52 : 4,826.04 = 1,439.42 : x
  2. Step 2: Convert to fraction form
    3,220.52/4,826.04 = 1,439.42/x
  3. Step 3: Cross multiply
    3,220.52x = 4,826.04 × 1,439.42
  4. Step 4: Simplify right side
    3,220.52x = 6,946,698.50
  5. Step 5: Solve for x
    x = 6,946,698.50/3,220.52
  6. Step 6: Final answer
    x = 2,157.01

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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.