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Finding the Fourth Proportional to 3,602.33, 5,401.33 and 1,408.44

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Solution

The fourth proportional to 3,602.33, 5,401.33 and 1,408.44 is: 2,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.33 : 5,401.33 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    3,602.33/5,401.33 = 1,408.44/x
  3. Step 3: Cross multiply
    3,602.33x = 5,401.33 × 1,408.44
  4. Step 4: Simplify right side
    3,602.33x = 7,607,445.70
  5. Step 5: Solve for x
    x = 7,607,445.70/3,602.33
  6. Step 6: Final answer
    x = 2,111.82

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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.