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Finding the Fourth Proportional to 4,542.88, 6,269.48 and 2,774

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Solution

The fourth proportional to 4,542.88, 6,269.48 and 2,774 is: 3,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.88 : 6,269.48 = 2,774 : x
  2. Step 2: Convert to fraction form
    4,542.88/6,269.48 = 2,774/x
  3. Step 3: Cross multiply
    4,542.88x = 6,269.48 × 2,774
  4. Step 4: Simplify right side
    4,542.88x = 17,391,537.52
  5. Step 5: Solve for x
    x = 17,391,537.52/4,542.88
  6. Step 6: Final answer
    x = 3,828.31

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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.