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Finding the Fourth Proportional to 5,759.93, 7,946.62 and 3,771.62

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Solution

The fourth proportional to 5,759.93, 7,946.62 and 3,771.62 is: 5,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.93 : 7,946.62 = 3,771.62 : x
  2. Step 2: Convert to fraction form
    5,759.93/7,946.62 = 3,771.62/x
  3. Step 3: Cross multiply
    5,759.93x = 7,946.62 × 3,771.62
  4. Step 4: Simplify right side
    5,759.93x = 29,971,581.76
  5. Step 5: Solve for x
    x = 29,971,581.76/5,759.93
  6. Step 6: Final answer
    x = 5,203.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.