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Finding the Fourth Proportional to 5,586.75, 7,709.92 and 3,069.10

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Solution

The fourth proportional to 5,586.75, 7,709.92 and 3,069.10 is: 4,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.75 : 7,709.92 = 3,069.10 : x
  2. Step 2: Convert to fraction form
    5,586.75/7,709.92 = 3,069.10/x
  3. Step 3: Cross multiply
    5,586.75x = 7,709.92 × 3,069.10
  4. Step 4: Simplify right side
    5,586.75x = 23,662,474.07
  5. Step 5: Solve for x
    x = 23,662,474.07/5,586.75
  6. Step 6: Final answer
    x = 4,235.46

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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.