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Finding the Fourth Proportional to 3,137.66, 4,706.62 and 1,057.74

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Solution

The fourth proportional to 3,137.66, 4,706.62 and 1,057.74 is: 1,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.66 : 4,706.62 = 1,057.74 : x
  2. Step 2: Convert to fraction form
    3,137.66/4,706.62 = 1,057.74/x
  3. Step 3: Cross multiply
    3,137.66x = 4,706.62 × 1,057.74
  4. Step 4: Simplify right side
    3,137.66x = 4,978,380.24
  5. Step 5: Solve for x
    x = 4,978,380.24/3,137.66
  6. Step 6: Final answer
    x = 1,586.65

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Why These Related Problems?

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