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Finding the Fourth Proportional to 4,669.49, 6,965.97 and 4,542.37

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Solution

The fourth proportional to 4,669.49, 6,965.97 and 4,542.37 is: 6,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.49 : 6,965.97 = 4,542.37 : x
  2. Step 2: Convert to fraction form
    4,669.49/6,965.97 = 4,542.37/x
  3. Step 3: Cross multiply
    4,669.49x = 6,965.97 × 4,542.37
  4. Step 4: Simplify right side
    4,669.49x = 31,642,013.15
  5. Step 5: Solve for x
    x = 31,642,013.15/4,669.49
  6. Step 6: Final answer
    x = 6,776.33

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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.