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Finding the Fourth Proportional to 5,735.10, 7,894.26 and 5,025.26

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Solution

The fourth proportional to 5,735.10, 7,894.26 and 5,025.26 is: 6,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.10 : 7,894.26 = 5,025.26 : x
  2. Step 2: Convert to fraction form
    5,735.10/7,894.26 = 5,025.26/x
  3. Step 3: Cross multiply
    5,735.10x = 7,894.26 × 5,025.26
  4. Step 4: Simplify right side
    5,735.10x = 39,670,709.01
  5. Step 5: Solve for x
    x = 39,670,709.01/5,735.10
  6. Step 6: Final answer
    x = 6,917.18

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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.