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Finding the Fourth Proportional to 5,828.40, 8,736.93 and 2,128.32

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Solution

The fourth proportional to 5,828.40, 8,736.93 and 2,128.32 is: 3,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.40 : 8,736.93 = 2,128.32 : x
  2. Step 2: Convert to fraction form
    5,828.40/8,736.93 = 2,128.32/x
  3. Step 3: Cross multiply
    5,828.40x = 8,736.93 × 2,128.32
  4. Step 4: Simplify right side
    5,828.40x = 18,594,982.86
  5. Step 5: Solve for x
    x = 18,594,982.86/5,828.40
  6. Step 6: Final answer
    x = 3,190.41

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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.