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Finding the Fourth Proportional to 3,684.29, 5,523.69 and 1,603.90

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Solution

The fourth proportional to 3,684.29, 5,523.69 and 1,603.90 is: 2,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.29 : 5,523.69 = 1,603.90 : x
  2. Step 2: Convert to fraction form
    3,684.29/5,523.69 = 1,603.90/x
  3. Step 3: Cross multiply
    3,684.29x = 5,523.69 × 1,603.90
  4. Step 4: Simplify right side
    3,684.29x = 8,859,459.31
  5. Step 5: Solve for x
    x = 8,859,459.31/3,684.29
  6. Step 6: Final answer
    x = 2,404.66

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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.