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Finding the Fourth Proportional to 3,671.20, 5,507.16 and 1,205.92

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Solution

The fourth proportional to 3,671.20, 5,507.16 and 1,205.92 is: 1,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.20 : 5,507.16 = 1,205.92 : x
  2. Step 2: Convert to fraction form
    3,671.20/5,507.16 = 1,205.92/x
  3. Step 3: Cross multiply
    3,671.20x = 5,507.16 × 1,205.92
  4. Step 4: Simplify right side
    3,671.20x = 6,641,194.39
  5. Step 5: Solve for x
    x = 6,641,194.39/3,671.20
  6. Step 6: Final answer
    x = 1,809.00

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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.