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Finding the Fourth Proportional to 3,774.48, 5,639.37 and 3,645.30

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Solution

The fourth proportional to 3,774.48, 5,639.37 and 3,645.30 is: 5,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.48 : 5,639.37 = 3,645.30 : x
  2. Step 2: Convert to fraction form
    3,774.48/5,639.37 = 3,645.30/x
  3. Step 3: Cross multiply
    3,774.48x = 5,639.37 × 3,645.30
  4. Step 4: Simplify right side
    3,774.48x = 20,557,195.46
  5. Step 5: Solve for x
    x = 20,557,195.46/3,774.48
  6. Step 6: Final answer
    x = 5,446.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.