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Finding the Fourth Proportional to 4,948, 6,828.24 and 3,085

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Solution

The fourth proportional to 4,948, 6,828.24 and 3,085 is: 4,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948 : 6,828.24 = 3,085 : x
  2. Step 2: Convert to fraction form
    4,948/6,828.24 = 3,085/x
  3. Step 3: Cross multiply
    4,948x = 6,828.24 × 3,085
  4. Step 4: Simplify right side
    4,948x = 21,065,120.40
  5. Step 5: Solve for x
    x = 21,065,120.40/4,948
  6. Step 6: Final answer
    x = 4,257.30

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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.