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Finding the Fourth Proportional to 6,029.39, 8,312.00 and 4,433.22

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Solution

The fourth proportional to 6,029.39, 8,312.00 and 4,433.22 is: 6,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.39 : 8,312.00 = 4,433.22 : x
  2. Step 2: Convert to fraction form
    6,029.39/8,312.00 = 4,433.22/x
  3. Step 3: Cross multiply
    6,029.39x = 8,312.00 × 4,433.22
  4. Step 4: Simplify right side
    6,029.39x = 36,848,902.47
  5. Step 5: Solve for x
    x = 36,848,902.47/6,029.39
  6. Step 6: Final answer
    x = 6,111.54

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Why These Related Problems?

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