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Finding the Fourth Proportional to 3,836.16, 5,294.16 and 3,313.44

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Solution

The fourth proportional to 3,836.16, 5,294.16 and 3,313.44 is: 4,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.16 : 5,294.16 = 3,313.44 : x
  2. Step 2: Convert to fraction form
    3,836.16/5,294.16 = 3,313.44/x
  3. Step 3: Cross multiply
    3,836.16x = 5,294.16 × 3,313.44
  4. Step 4: Simplify right side
    3,836.16x = 17,541,881.51
  5. Step 5: Solve for x
    x = 17,541,881.51/3,836.16
  6. Step 6: Final answer
    x = 4,572.77

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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.