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Finding the Fourth Proportional to 5,157.35, 7,735.95 and 1,261.79

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Solution

The fourth proportional to 5,157.35, 7,735.95 and 1,261.79 is: 1,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.35 : 7,735.95 = 1,261.79 : x
  2. Step 2: Convert to fraction form
    5,157.35/7,735.95 = 1,261.79/x
  3. Step 3: Cross multiply
    5,157.35x = 7,735.95 × 1,261.79
  4. Step 4: Simplify right side
    5,157.35x = 9,761,105.67
  5. Step 5: Solve for x
    x = 9,761,105.67/5,157.35
  6. Step 6: Final answer
    x = 1,892.66

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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.