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Finding the Fourth Proportional to 3,673.59, 5,510.73 and 1,208.42

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Solution

The fourth proportional to 3,673.59, 5,510.73 and 1,208.42 is: 1,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.59 : 5,510.73 = 1,208.42 : x
  2. Step 2: Convert to fraction form
    3,673.59/5,510.73 = 1,208.42/x
  3. Step 3: Cross multiply
    3,673.59x = 5,510.73 × 1,208.42
  4. Step 4: Simplify right side
    3,673.59x = 6,659,276.35
  5. Step 5: Solve for x
    x = 6,659,276.35/3,673.59
  6. Step 6: Final answer
    x = 1,812.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.