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Finding the Fourth Proportional to 4,804.20, 6,629.76 and 2,916

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Solution

The fourth proportional to 4,804.20, 6,629.76 and 2,916 is: 4,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.20 : 6,629.76 = 2,916 : x
  2. Step 2: Convert to fraction form
    4,804.20/6,629.76 = 2,916/x
  3. Step 3: Cross multiply
    4,804.20x = 6,629.76 × 2,916
  4. Step 4: Simplify right side
    4,804.20x = 19,332,380.16
  5. Step 5: Solve for x
    x = 19,332,380.16/4,804.20
  6. Step 6: Final answer
    x = 4,024.06

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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.