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Finding the Fourth Proportional to 5,048.23, 6,965.81 and 3,031.22

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Solution

The fourth proportional to 5,048.23, 6,965.81 and 3,031.22 is: 4,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.23 : 6,965.81 = 3,031.22 : x
  2. Step 2: Convert to fraction form
    5,048.23/6,965.81 = 3,031.22/x
  3. Step 3: Cross multiply
    5,048.23x = 6,965.81 × 3,031.22
  4. Step 4: Simplify right side
    5,048.23x = 21,114,877.03
  5. Step 5: Solve for x
    x = 21,114,877.03/5,048.23
  6. Step 6: Final answer
    x = 4,182.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.