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Finding the Fourth Proportional to 4,105.35, 6,157.43 and 1,507.71

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Solution

The fourth proportional to 4,105.35, 6,157.43 and 1,507.71 is: 2,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.35 : 6,157.43 = 1,507.71 : x
  2. Step 2: Convert to fraction form
    4,105.35/6,157.43 = 1,507.71/x
  3. Step 3: Cross multiply
    4,105.35x = 6,157.43 × 1,507.71
  4. Step 4: Simplify right side
    4,105.35x = 9,283,611.25
  5. Step 5: Solve for x
    x = 9,283,611.25/4,105.35
  6. Step 6: Final answer
    x = 2,261.34

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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.