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Finding the Fourth Proportional to 3,656.89, 5,485.80 and 1,191.05

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Solution

The fourth proportional to 3,656.89, 5,485.80 and 1,191.05 is: 1,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.89 : 5,485.80 = 1,191.05 : x
  2. Step 2: Convert to fraction form
    3,656.89/5,485.80 = 1,191.05/x
  3. Step 3: Cross multiply
    3,656.89x = 5,485.80 × 1,191.05
  4. Step 4: Simplify right side
    3,656.89x = 6,533,856.13
  5. Step 5: Solve for x
    x = 6,533,856.13/3,656.89
  6. Step 6: Final answer
    x = 1,786.72

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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.