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Finding the Fourth Proportional to 3,485.14, 4,809.56 and 1,913.22

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Solution

The fourth proportional to 3,485.14, 4,809.56 and 1,913.22 is: 2,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.14 : 4,809.56 = 1,913.22 : x
  2. Step 2: Convert to fraction form
    3,485.14/4,809.56 = 1,913.22/x
  3. Step 3: Cross multiply
    3,485.14x = 4,809.56 × 1,913.22
  4. Step 4: Simplify right side
    3,485.14x = 9,201,736.82
  5. Step 5: Solve for x
    x = 9,201,736.82/3,485.14
  6. Step 6: Final answer
    x = 2,640.28

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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.