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Finding the Fourth Proportional to 5,577.22, 7,696.92 and 3,219.34

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Solution

The fourth proportional to 5,577.22, 7,696.92 and 3,219.34 is: 4,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.22 : 7,696.92 = 3,219.34 : x
  2. Step 2: Convert to fraction form
    5,577.22/7,696.92 = 3,219.34/x
  3. Step 3: Cross multiply
    5,577.22x = 7,696.92 × 3,219.34
  4. Step 4: Simplify right side
    5,577.22x = 24,779,002.43
  5. Step 5: Solve for x
    x = 24,779,002.43/5,577.22
  6. Step 6: Final answer
    x = 4,442.89

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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.