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Finding the Fourth Proportional to 5,604.18, 7,734.20 and 3,214.36

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Solution

The fourth proportional to 5,604.18, 7,734.20 and 3,214.36 is: 4,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.18 : 7,734.20 = 3,214.36 : x
  2. Step 2: Convert to fraction form
    5,604.18/7,734.20 = 3,214.36/x
  3. Step 3: Cross multiply
    5,604.18x = 7,734.20 × 3,214.36
  4. Step 4: Simplify right side
    5,604.18x = 24,860,503.11
  5. Step 5: Solve for x
    x = 24,860,503.11/5,604.18
  6. Step 6: Final answer
    x = 4,436.06

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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.