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Finding the Fourth Proportional to 3,901.35, 5,846.93 and 3,406.50

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Solution

The fourth proportional to 3,901.35, 5,846.93 and 3,406.50 is: 5,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.35 : 5,846.93 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    3,901.35/5,846.93 = 3,406.50/x
  3. Step 3: Cross multiply
    3,901.35x = 5,846.93 × 3,406.50
  4. Step 4: Simplify right side
    3,901.35x = 19,917,550.01
  5. Step 5: Solve for x
    x = 19,917,550.01/3,901.35
  6. Step 6: Final answer
    x = 5,105.30

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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.