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Finding the Fourth Proportional to 3,485.57, 4,807.58 and 2,209.01

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Solution

The fourth proportional to 3,485.57, 4,807.58 and 2,209.01 is: 3,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.57 : 4,807.58 = 2,209.01 : x
  2. Step 2: Convert to fraction form
    3,485.57/4,807.58 = 2,209.01/x
  3. Step 3: Cross multiply
    3,485.57x = 4,807.58 × 2,209.01
  4. Step 4: Simplify right side
    3,485.57x = 10,619,993.27
  5. Step 5: Solve for x
    x = 10,619,993.27/3,485.57
  6. Step 6: Final answer
    x = 3,046.84

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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.