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Finding the Fourth Proportional to 3,440.46, 5,164.12 and 1,592

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Solution

The fourth proportional to 3,440.46, 5,164.12 and 1,592 is: 2,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.46 : 5,164.12 = 1,592 : x
  2. Step 2: Convert to fraction form
    3,440.46/5,164.12 = 1,592/x
  3. Step 3: Cross multiply
    3,440.46x = 5,164.12 × 1,592
  4. Step 4: Simplify right side
    3,440.46x = 8,221,279.04
  5. Step 5: Solve for x
    x = 8,221,279.04/3,440.46
  6. Step 6: Final answer
    x = 2,389.59

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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.