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Finding the Fourth Proportional to 4,804.72, 6,629.88 and 2,680

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Solution

The fourth proportional to 4,804.72, 6,629.88 and 2,680 is: 3,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.72 : 6,629.88 = 2,680 : x
  2. Step 2: Convert to fraction form
    4,804.72/6,629.88 = 2,680/x
  3. Step 3: Cross multiply
    4,804.72x = 6,629.88 × 2,680
  4. Step 4: Simplify right side
    4,804.72x = 17,768,078.40
  5. Step 5: Solve for x
    x = 17,768,078.40/4,804.72
  6. Step 6: Final answer
    x = 3,698.05

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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.