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Finding the Fourth Proportional to 5,774.61, 7,968.97 and 3,122.04

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Solution

The fourth proportional to 5,774.61, 7,968.97 and 3,122.04 is: 4,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.61 : 7,968.97 = 3,122.04 : x
  2. Step 2: Convert to fraction form
    5,774.61/7,968.97 = 3,122.04/x
  3. Step 3: Cross multiply
    5,774.61x = 7,968.97 × 3,122.04
  4. Step 4: Simplify right side
    5,774.61x = 24,879,427.49
  5. Step 5: Solve for x
    x = 24,879,427.49/5,774.61
  6. Step 6: Final answer
    x = 4,308.42

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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.