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Finding the Fourth Proportional to 5,646.21, 7,792.05 and 3,408.05

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Solution

The fourth proportional to 5,646.21, 7,792.05 and 3,408.05 is: 4,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.21 : 7,792.05 = 3,408.05 : x
  2. Step 2: Convert to fraction form
    5,646.21/7,792.05 = 3,408.05/x
  3. Step 3: Cross multiply
    5,646.21x = 7,792.05 × 3,408.05
  4. Step 4: Simplify right side
    5,646.21x = 26,555,657.04
  5. Step 5: Solve for x
    x = 26,555,657.04/5,646.21
  6. Step 6: Final answer
    x = 4,703.27

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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.