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Finding the Fourth Proportional to 3,900.32, 5,853 and 1,592

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Solution

The fourth proportional to 3,900.32, 5,853 and 1,592 is: 2,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.32 : 5,853 = 1,592 : x
  2. Step 2: Convert to fraction form
    3,900.32/5,853 = 1,592/x
  3. Step 3: Cross multiply
    3,900.32x = 5,853 × 1,592
  4. Step 4: Simplify right side
    3,900.32x = 9,317,976
  5. Step 5: Solve for x
    x = 9,317,976/3,900.32
  6. Step 6: Final answer
    x = 2,389.03

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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.