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Finding the Fourth Proportional to 5,645.50, 7,790.18 and 3,408.28

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Solution

The fourth proportional to 5,645.50, 7,790.18 and 3,408.28 is: 4,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.50 : 7,790.18 = 3,408.28 : x
  2. Step 2: Convert to fraction form
    5,645.50/7,790.18 = 3,408.28/x
  3. Step 3: Cross multiply
    5,645.50x = 7,790.18 × 3,408.28
  4. Step 4: Simplify right side
    5,645.50x = 26,551,078.17
  5. Step 5: Solve for x
    x = 26,551,078.17/5,645.50
  6. Step 6: Final answer
    x = 4,703.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.