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Finding the Fourth Proportional to 6,586.67, 9,089.85 and 3,754.49

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Solution

The fourth proportional to 6,586.67, 9,089.85 and 3,754.49 is: 5,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.67 : 9,089.85 = 3,754.49 : x
  2. Step 2: Convert to fraction form
    6,586.67/9,089.85 = 3,754.49/x
  3. Step 3: Cross multiply
    6,586.67x = 9,089.85 × 3,754.49
  4. Step 4: Simplify right side
    6,586.67x = 34,127,705.48
  5. Step 5: Solve for x
    x = 34,127,705.48/6,586.67
  6. Step 6: Final answer
    x = 5,181.33

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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.