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Finding the Fourth Proportional to 5,778, 7,968.51 and 3,650.94

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Solution

The fourth proportional to 5,778, 7,968.51 and 3,650.94 is: 5,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778 : 7,968.51 = 3,650.94 : x
  2. Step 2: Convert to fraction form
    5,778/7,968.51 = 3,650.94/x
  3. Step 3: Cross multiply
    5,778x = 7,968.51 × 3,650.94
  4. Step 4: Simplify right side
    5,778x = 29,092,551.90
  5. Step 5: Solve for x
    x = 29,092,551.90/5,778
  6. Step 6: Final answer
    x = 5,035.06

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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.