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Finding the Fourth Proportional to 5,346.36, 8,017 and 3,125.82

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Solution

The fourth proportional to 5,346.36, 8,017 and 3,125.82 is: 4,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.36 : 8,017 = 3,125.82 : x
  2. Step 2: Convert to fraction form
    5,346.36/8,017 = 3,125.82/x
  3. Step 3: Cross multiply
    5,346.36x = 8,017 × 3,125.82
  4. Step 4: Simplify right side
    5,346.36x = 25,059,698.94
  5. Step 5: Solve for x
    x = 25,059,698.94/5,346.36
  6. Step 6: Final answer
    x = 4,687.24

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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.