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Finding the Fourth Proportional to 5,542, 7,647.98 and 3,058

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Solution

The fourth proportional to 5,542, 7,647.98 and 3,058 is: 4,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542 : 7,647.98 = 3,058 : x
  2. Step 2: Convert to fraction form
    5,542/7,647.98 = 3,058/x
  3. Step 3: Cross multiply
    5,542x = 7,647.98 × 3,058
  4. Step 4: Simplify right side
    5,542x = 23,387,522.84
  5. Step 5: Solve for x
    x = 23,387,522.84/5,542
  6. Step 6: Final answer
    x = 4,220.05

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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.