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Finding the Fourth Proportional to 5,773.96, 7,968.05 and 3,121.36

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Solution

The fourth proportional to 5,773.96, 7,968.05 and 3,121.36 is: 4,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.96 : 7,968.05 = 3,121.36 : x
  2. Step 2: Convert to fraction form
    5,773.96/7,968.05 = 3,121.36/x
  3. Step 3: Cross multiply
    5,773.96x = 7,968.05 × 3,121.36
  4. Step 4: Simplify right side
    5,773.96x = 24,871,152.55
  5. Step 5: Solve for x
    x = 24,871,152.55/5,773.96
  6. Step 6: Final answer
    x = 4,307.47

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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.