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Finding the Fourth Proportional to 5,774.22, 7,961.76 and 4,932.36

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Solution

The fourth proportional to 5,774.22, 7,961.76 and 4,932.36 is: 6,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.22 : 7,961.76 = 4,932.36 : x
  2. Step 2: Convert to fraction form
    5,774.22/7,961.76 = 4,932.36/x
  3. Step 3: Cross multiply
    5,774.22x = 7,961.76 × 4,932.36
  4. Step 4: Simplify right side
    5,774.22x = 39,270,266.55
  5. Step 5: Solve for x
    x = 39,270,266.55/5,774.22
  6. Step 6: Final answer
    x = 6,800.96

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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.