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Finding the Fourth Proportional to 5,773.36, 7,969.90 and 3,383

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Solution

The fourth proportional to 5,773.36, 7,969.90 and 3,383 is: 4,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.36 : 7,969.90 = 3,383 : x
  2. Step 2: Convert to fraction form
    5,773.36/7,969.90 = 3,383/x
  3. Step 3: Cross multiply
    5,773.36x = 7,969.90 × 3,383
  4. Step 4: Simplify right side
    5,773.36x = 26,962,171.70
  5. Step 5: Solve for x
    x = 26,962,171.70/5,773.36
  6. Step 6: Final answer
    x = 4,670.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.