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Finding the Fourth Proportional to 5,768.48, 7,960.04 and 3,410.20

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Solution

The fourth proportional to 5,768.48, 7,960.04 and 3,410.20 is: 4,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.48 : 7,960.04 = 3,410.20 : x
  2. Step 2: Convert to fraction form
    5,768.48/7,960.04 = 3,410.20/x
  3. Step 3: Cross multiply
    5,768.48x = 7,960.04 × 3,410.20
  4. Step 4: Simplify right side
    5,768.48x = 27,145,328.41
  5. Step 5: Solve for x
    x = 27,145,328.41/5,768.48
  6. Step 6: Final answer
    x = 4,705.80

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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.