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Finding the Fourth Proportional to 5,392.09, 8,082.38 and 3,848.41

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Solution

The fourth proportional to 5,392.09, 8,082.38 and 3,848.41 is: 5,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.09 : 8,082.38 = 3,848.41 : x
  2. Step 2: Convert to fraction form
    5,392.09/8,082.38 = 3,848.41/x
  3. Step 3: Cross multiply
    5,392.09x = 8,082.38 × 3,848.41
  4. Step 4: Simplify right side
    5,392.09x = 31,104,292.77
  5. Step 5: Solve for x
    x = 31,104,292.77/5,392.09
  6. Step 6: Final answer
    x = 5,768.50

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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.