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Finding the Fourth Proportional to 4,848.54, 7,274.97 and 2,539.50

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Solution

The fourth proportional to 4,848.54, 7,274.97 and 2,539.50 is: 3,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.54 : 7,274.97 = 2,539.50 : x
  2. Step 2: Convert to fraction form
    4,848.54/7,274.97 = 2,539.50/x
  3. Step 3: Cross multiply
    4,848.54x = 7,274.97 × 2,539.50
  4. Step 4: Simplify right side
    4,848.54x = 18,474,786.32
  5. Step 5: Solve for x
    x = 18,474,786.32/4,848.54
  6. Step 6: Final answer
    x = 3,810.38

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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.