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Finding the Fourth Proportional to 3,475.36, 5,214.48 and 1,936

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Solution

The fourth proportional to 3,475.36, 5,214.48 and 1,936 is: 2,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.36 : 5,214.48 = 1,936 : x
  2. Step 2: Convert to fraction form
    3,475.36/5,214.48 = 1,936/x
  3. Step 3: Cross multiply
    3,475.36x = 5,214.48 × 1,936
  4. Step 4: Simplify right side
    3,475.36x = 10,095,233.28
  5. Step 5: Solve for x
    x = 10,095,233.28/3,475.36
  6. Step 6: Final answer
    x = 2,904.80

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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.