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Finding the Fourth Proportional to 4,841.31, 7,251.09 and 4,208.47

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Solution

The fourth proportional to 4,841.31, 7,251.09 and 4,208.47 is: 6,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.31 : 7,251.09 = 4,208.47 : x
  2. Step 2: Convert to fraction form
    4,841.31/7,251.09 = 4,208.47/x
  3. Step 3: Cross multiply
    4,841.31x = 7,251.09 × 4,208.47
  4. Step 4: Simplify right side
    4,841.31x = 30,515,994.73
  5. Step 5: Solve for x
    x = 30,515,994.73/4,841.31
  6. Step 6: Final answer
    x = 6,303.25

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