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Finding the Fourth Proportional to 6,524.58, 9,778.23 and 3,054.54

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Solution

The fourth proportional to 6,524.58, 9,778.23 and 3,054.54 is: 4,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.58 : 9,778.23 = 3,054.54 : x
  2. Step 2: Convert to fraction form
    6,524.58/9,778.23 = 3,054.54/x
  3. Step 3: Cross multiply
    6,524.58x = 9,778.23 × 3,054.54
  4. Step 4: Simplify right side
    6,524.58x = 29,867,994.66
  5. Step 5: Solve for x
    x = 29,867,994.66/6,524.58
  6. Step 6: Final answer
    x = 4,577.77

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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.