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Finding the Fourth Proportional to 5,642.96, 7,790.72 and 3,757.28

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Solution

The fourth proportional to 5,642.96, 7,790.72 and 3,757.28 is: 5,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.96 : 7,790.72 = 3,757.28 : x
  2. Step 2: Convert to fraction form
    5,642.96/7,790.72 = 3,757.28/x
  3. Step 3: Cross multiply
    5,642.96x = 7,790.72 × 3,757.28
  4. Step 4: Simplify right side
    5,642.96x = 29,271,916.44
  5. Step 5: Solve for x
    x = 29,271,916.44/5,642.96
  6. Step 6: Final answer
    x = 5,187.33

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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.