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Finding the Fourth Proportional to 3,655.58, 5,482.15 and 1,189.73

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Solution

The fourth proportional to 3,655.58, 5,482.15 and 1,189.73 is: 1,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.58 : 5,482.15 = 1,189.73 : x
  2. Step 2: Convert to fraction form
    3,655.58/5,482.15 = 1,189.73/x
  3. Step 3: Cross multiply
    3,655.58x = 5,482.15 × 1,189.73
  4. Step 4: Simplify right side
    3,655.58x = 6,522,289.05
  5. Step 5: Solve for x
    x = 6,522,289.05/3,655.58
  6. Step 6: Final answer
    x = 1,784.20

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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.