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Finding the Fourth Proportional to 5,706.46, 8,560 and 1,760.44

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Solution

The fourth proportional to 5,706.46, 8,560 and 1,760.44 is: 2,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.46 : 8,560 = 1,760.44 : x
  2. Step 2: Convert to fraction form
    5,706.46/8,560 = 1,760.44/x
  3. Step 3: Cross multiply
    5,706.46x = 8,560 × 1,760.44
  4. Step 4: Simplify right side
    5,706.46x = 15,069,323.60
  5. Step 5: Solve for x
    x = 15,069,323.60/5,706.46
  6. Step 6: Final answer
    x = 2,640.75

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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.