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Finding the Fourth Proportional to 4,017.61, 6,017.50 and 3,086.31

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Solution

The fourth proportional to 4,017.61, 6,017.50 and 3,086.31 is: 4,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.61 : 6,017.50 = 3,086.31 : x
  2. Step 2: Convert to fraction form
    4,017.61/6,017.50 = 3,086.31/x
  3. Step 3: Cross multiply
    4,017.61x = 6,017.50 × 3,086.31
  4. Step 4: Simplify right side
    4,017.61x = 18,571,870.43
  5. Step 5: Solve for x
    x = 18,571,870.43/4,017.61
  6. Step 6: Final answer
    x = 4,622.62

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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.