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Finding the Fourth Proportional to 3,031.29, 4,200.06 and 2,965.68

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Solution

The fourth proportional to 3,031.29, 4,200.06 and 2,965.68 is: 4,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.29 : 4,200.06 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    3,031.29/4,200.06 = 2,965.68/x
  3. Step 3: Cross multiply
    3,031.29x = 4,200.06 × 2,965.68
  4. Step 4: Simplify right side
    3,031.29x = 12,456,033.94
  5. Step 5: Solve for x
    x = 12,456,033.94/3,031.29
  6. Step 6: Final answer
    x = 4,109.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.