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Finding the Fourth Proportional to 3,533.96, 4,875.87 and 2,209.01

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Solution

The fourth proportional to 3,533.96, 4,875.87 and 2,209.01 is: 3,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.96 : 4,875.87 = 2,209.01 : x
  2. Step 2: Convert to fraction form
    3,533.96/4,875.87 = 2,209.01/x
  3. Step 3: Cross multiply
    3,533.96x = 4,875.87 × 2,209.01
  4. Step 4: Simplify right side
    3,533.96x = 10,770,845.59
  5. Step 5: Solve for x
    x = 10,770,845.59/3,533.96
  6. Step 6: Final answer
    x = 3,047.81

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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.