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Finding the Fourth Proportional to 5,391.84, 8,082 and 3,848.16

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Solution

The fourth proportional to 5,391.84, 8,082 and 3,848.16 is: 5,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.84 : 8,082 = 3,848.16 : x
  2. Step 2: Convert to fraction form
    5,391.84/8,082 = 3,848.16/x
  3. Step 3: Cross multiply
    5,391.84x = 8,082 × 3,848.16
  4. Step 4: Simplify right side
    5,391.84x = 31,100,829.12
  5. Step 5: Solve for x
    x = 31,100,829.12/5,391.84
  6. Step 6: Final answer
    x = 5,768.13

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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.