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Finding the Fourth Proportional to 3,302.91, 4,954.35 and 2,786.22

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Solution

The fourth proportional to 3,302.91, 4,954.35 and 2,786.22 is: 4,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.91 : 4,954.35 = 2,786.22 : x
  2. Step 2: Convert to fraction form
    3,302.91/4,954.35 = 2,786.22/x
  3. Step 3: Cross multiply
    3,302.91x = 4,954.35 × 2,786.22
  4. Step 4: Simplify right side
    3,302.91x = 13,803,909.06
  5. Step 5: Solve for x
    x = 13,803,909.06/3,302.91
  6. Step 6: Final answer
    x = 4,179.32

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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.