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Finding the Fourth Proportional to 4,733.37, 6,530.13 and 3,054.42

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Solution

The fourth proportional to 4,733.37, 6,530.13 and 3,054.42 is: 4,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.37 : 6,530.13 = 3,054.42 : x
  2. Step 2: Convert to fraction form
    4,733.37/6,530.13 = 3,054.42/x
  3. Step 3: Cross multiply
    4,733.37x = 6,530.13 × 3,054.42
  4. Step 4: Simplify right side
    4,733.37x = 19,945,759.67
  5. Step 5: Solve for x
    x = 19,945,759.67/4,733.37
  6. Step 6: Final answer
    x = 4,213.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.