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Finding the Fourth Proportional to 3,722.68, 5,583.00 and 1,090.77

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Solution

The fourth proportional to 3,722.68, 5,583.00 and 1,090.77 is: 1,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.68 : 5,583.00 = 1,090.77 : x
  2. Step 2: Convert to fraction form
    3,722.68/5,583.00 = 1,090.77/x
  3. Step 3: Cross multiply
    3,722.68x = 5,583.00 × 1,090.77
  4. Step 4: Simplify right side
    3,722.68x = 6,089,749.00
  5. Step 5: Solve for x
    x = 6,089,749.00/3,722.68
  6. Step 6: Final answer
    x = 1,635.85

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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.