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Finding the Fourth Proportional to 3,656.59, 5,485.90 and 1,191.09

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Solution

The fourth proportional to 3,656.59, 5,485.90 and 1,191.09 is: 1,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.59 : 5,485.90 = 1,191.09 : x
  2. Step 2: Convert to fraction form
    3,656.59/5,485.90 = 1,191.09/x
  3. Step 3: Cross multiply
    3,656.59x = 5,485.90 × 1,191.09
  4. Step 4: Simplify right side
    3,656.59x = 6,534,200.63
  5. Step 5: Solve for x
    x = 6,534,200.63/3,656.59
  6. Step 6: Final answer
    x = 1,786.97

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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.