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Finding the Fourth Proportional to 3,599.36, 5,401.80 and 1,408.64

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Solution

The fourth proportional to 3,599.36, 5,401.80 and 1,408.64 is: 2,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.36 : 5,401.80 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    3,599.36/5,401.80 = 1,408.64/x
  3. Step 3: Cross multiply
    3,599.36x = 5,401.80 × 1,408.64
  4. Step 4: Simplify right side
    3,599.36x = 7,609,191.55
  5. Step 5: Solve for x
    x = 7,609,191.55/3,599.36
  6. Step 6: Final answer
    x = 2,114.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.