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Finding the Fourth Proportional to 4,932.54, 7,400.54 and 3,081.49

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Solution

The fourth proportional to 4,932.54, 7,400.54 and 3,081.49 is: 4,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.54 : 7,400.54 = 3,081.49 : x
  2. Step 2: Convert to fraction form
    4,932.54/7,400.54 = 3,081.49/x
  3. Step 3: Cross multiply
    4,932.54x = 7,400.54 × 3,081.49
  4. Step 4: Simplify right side
    4,932.54x = 22,804,690.00
  5. Step 5: Solve for x
    x = 22,804,690.00/4,932.54
  6. Step 6: Final answer
    x = 4,623.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.