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Finding the Fourth Proportional to 4,147.81, 6,216.95 and 2,069.25

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Solution

The fourth proportional to 4,147.81, 6,216.95 and 2,069.25 is: 3,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.81 : 6,216.95 = 2,069.25 : x
  2. Step 2: Convert to fraction form
    4,147.81/6,216.95 = 2,069.25/x
  3. Step 3: Cross multiply
    4,147.81x = 6,216.95 × 2,069.25
  4. Step 4: Simplify right side
    4,147.81x = 12,864,405.65
  5. Step 5: Solve for x
    x = 12,864,405.65/4,147.81
  6. Step 6: Final answer
    x = 3,101.50

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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.