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Finding the Fourth Proportional to 3,566.44, 5,358.30 and 2,270.44

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Solution

The fourth proportional to 3,566.44, 5,358.30 and 2,270.44 is: 3,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.44 : 5,358.30 = 2,270.44 : x
  2. Step 2: Convert to fraction form
    3,566.44/5,358.30 = 2,270.44/x
  3. Step 3: Cross multiply
    3,566.44x = 5,358.30 × 2,270.44
  4. Step 4: Simplify right side
    3,566.44x = 12,165,698.65
  5. Step 5: Solve for x
    x = 12,165,698.65/3,566.44
  6. Step 6: Final answer
    x = 3,411.16

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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.