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Finding the Fourth Proportional to 5,266.98, 7,269.84 and 3,029.10

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Solution

The fourth proportional to 5,266.98, 7,269.84 and 3,029.10 is: 4,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.98 : 7,269.84 = 3,029.10 : x
  2. Step 2: Convert to fraction form
    5,266.98/7,269.84 = 3,029.10/x
  3. Step 3: Cross multiply
    5,266.98x = 7,269.84 × 3,029.10
  4. Step 4: Simplify right side
    5,266.98x = 22,021,072.34
  5. Step 5: Solve for x
    x = 22,021,072.34/5,266.98
  6. Step 6: Final answer
    x = 4,180.97

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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.