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Finding the Fourth Proportional to 3,408.01, 5,112.16 and 942.77

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Solution

The fourth proportional to 3,408.01, 5,112.16 and 942.77 is: 1,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.01 : 5,112.16 = 942.77 : x
  2. Step 2: Convert to fraction form
    3,408.01/5,112.16 = 942.77/x
  3. Step 3: Cross multiply
    3,408.01x = 5,112.16 × 942.77
  4. Step 4: Simplify right side
    3,408.01x = 4,819,601.51
  5. Step 5: Solve for x
    x = 4,819,601.51/3,408.01
  6. Step 6: Final answer
    x = 1,414.20

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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.