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Finding the Fourth Proportional to 3,137.46, 4,706.22 and 1,405.68

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Solution

The fourth proportional to 3,137.46, 4,706.22 and 1,405.68 is: 2,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.46 : 4,706.22 = 1,405.68 : x
  2. Step 2: Convert to fraction form
    3,137.46/4,706.22 = 1,405.68/x
  3. Step 3: Cross multiply
    3,137.46x = 4,706.22 × 1,405.68
  4. Step 4: Simplify right side
    3,137.46x = 6,615,439.33
  5. Step 5: Solve for x
    x = 6,615,439.33/3,137.46
  6. Step 6: Final answer
    x = 2,108.53

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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.