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Finding the Fourth Proportional to 4,209.70, 6,309.15 and 1,746.22

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Solution

The fourth proportional to 4,209.70, 6,309.15 and 1,746.22 is: 2,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.70 : 6,309.15 = 1,746.22 : x
  2. Step 2: Convert to fraction form
    4,209.70/6,309.15 = 1,746.22/x
  3. Step 3: Cross multiply
    4,209.70x = 6,309.15 × 1,746.22
  4. Step 4: Simplify right side
    4,209.70x = 11,017,163.91
  5. Step 5: Solve for x
    x = 11,017,163.91/4,209.70
  6. Step 6: Final answer
    x = 2,617.09

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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.