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Finding the Fourth Proportional to 5,706.82, 8,560.38 and 2,419.34

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Solution

The fourth proportional to 5,706.82, 8,560.38 and 2,419.34 is: 3,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.82 : 8,560.38 = 2,419.34 : x
  2. Step 2: Convert to fraction form
    5,706.82/8,560.38 = 2,419.34/x
  3. Step 3: Cross multiply
    5,706.82x = 8,560.38 × 2,419.34
  4. Step 4: Simplify right side
    5,706.82x = 20,710,436.02
  5. Step 5: Solve for x
    x = 20,710,436.02/5,706.82
  6. Step 6: Final answer
    x = 3,629.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.