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Finding the Fourth Proportional to 3,683.60, 5,526.39 and 1,604.05

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Solution

The fourth proportional to 3,683.60, 5,526.39 and 1,604.05 is: 2,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.60 : 5,526.39 = 1,604.05 : x
  2. Step 2: Convert to fraction form
    3,683.60/5,526.39 = 1,604.05/x
  3. Step 3: Cross multiply
    3,683.60x = 5,526.39 × 1,604.05
  4. Step 4: Simplify right side
    3,683.60x = 8,864,605.88
  5. Step 5: Solve for x
    x = 8,864,605.88/3,683.60
  6. Step 6: Final answer
    x = 2,406.51

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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.