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Finding the Fourth Proportional to 6,586.58, 9,089.71 and 3,754.37

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Solution

The fourth proportional to 6,586.58, 9,089.71 and 3,754.37 is: 5,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.58 : 9,089.71 = 3,754.37 : x
  2. Step 2: Convert to fraction form
    6,586.58/9,089.71 = 3,754.37/x
  3. Step 3: Cross multiply
    6,586.58x = 9,089.71 × 3,754.37
  4. Step 4: Simplify right side
    6,586.58x = 34,126,147.87
  5. Step 5: Solve for x
    x = 34,126,147.87/6,586.58
  6. Step 6: Final answer
    x = 5,181.17

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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.