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Finding the Fourth Proportional to 3,683.80, 5,526.66 and 1,603.27

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Solution

The fourth proportional to 3,683.80, 5,526.66 and 1,603.27 is: 2,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.80 : 5,526.66 = 1,603.27 : x
  2. Step 2: Convert to fraction form
    3,683.80/5,526.66 = 1,603.27/x
  3. Step 3: Cross multiply
    3,683.80x = 5,526.66 × 1,603.27
  4. Step 4: Simplify right side
    3,683.80x = 8,860,712.03
  5. Step 5: Solve for x
    x = 8,860,712.03/3,683.80
  6. Step 6: Final answer
    x = 2,405.32

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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.