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Finding the Fourth Proportional to 5,774.12, 7,968.26 and 3,121.52

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Solution

The fourth proportional to 5,774.12, 7,968.26 and 3,121.52 is: 4,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.12 : 7,968.26 = 3,121.52 : x
  2. Step 2: Convert to fraction form
    5,774.12/7,968.26 = 3,121.52/x
  3. Step 3: Cross multiply
    5,774.12x = 7,968.26 × 3,121.52
  4. Step 4: Simplify right side
    5,774.12x = 24,873,087.27
  5. Step 5: Solve for x
    x = 24,873,087.27/5,774.12
  6. Step 6: Final answer
    x = 4,307.69

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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.