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Finding the Fourth Proportional to 3,673.60, 5,511.18 and 1,208.32

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Solution

The fourth proportional to 3,673.60, 5,511.18 and 1,208.32 is: 1,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.60 : 5,511.18 = 1,208.32 : x
  2. Step 2: Convert to fraction form
    3,673.60/5,511.18 = 1,208.32/x
  3. Step 3: Cross multiply
    3,673.60x = 5,511.18 × 1,208.32
  4. Step 4: Simplify right side
    3,673.60x = 6,659,269.02
  5. Step 5: Solve for x
    x = 6,659,269.02/3,673.60
  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.