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Finding the Fourth Proportional to 4,731.84, 6,533.42 and 3,054.22

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Solution

The fourth proportional to 4,731.84, 6,533.42 and 3,054.22 is: 4,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.84 : 6,533.42 = 3,054.22 : x
  2. Step 2: Convert to fraction form
    4,731.84/6,533.42 = 3,054.22/x
  3. Step 3: Cross multiply
    4,731.84x = 6,533.42 × 3,054.22
  4. Step 4: Simplify right side
    4,731.84x = 19,954,470.43
  5. Step 5: Solve for x
    x = 19,954,470.43/4,731.84
  6. Step 6: Final answer
    x = 4,217.06

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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.