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Finding the Fourth Proportional to 3,709.03, 5,567.19 and 3,023.77

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Solution

The fourth proportional to 3,709.03, 5,567.19 and 3,023.77 is: 4,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.03 : 5,567.19 = 3,023.77 : x
  2. Step 2: Convert to fraction form
    3,709.03/5,567.19 = 3,023.77/x
  3. Step 3: Cross multiply
    3,709.03x = 5,567.19 × 3,023.77
  4. Step 4: Simplify right side
    3,709.03x = 16,833,902.11
  5. Step 5: Solve for x
    x = 16,833,902.11/3,709.03
  6. Step 6: Final answer
    x = 4,538.63

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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.