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Finding the Fourth Proportional to 4,296.36, 5,933.64 and 3,459.84

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Solution

The fourth proportional to 4,296.36, 5,933.64 and 3,459.84 is: 4,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.36 : 5,933.64 = 3,459.84 : x
  2. Step 2: Convert to fraction form
    4,296.36/5,933.64 = 3,459.84/x
  3. Step 3: Cross multiply
    4,296.36x = 5,933.64 × 3,459.84
  4. Step 4: Simplify right side
    4,296.36x = 20,529,445.02
  5. Step 5: Solve for x
    x = 20,529,445.02/4,296.36
  6. Step 6: Final answer
    x = 4,778.33

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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.