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Finding the Fourth Proportional to 3,460.24, 5,190.37 and 863.18

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Solution

The fourth proportional to 3,460.24, 5,190.37 and 863.18 is: 1,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.24 : 5,190.37 = 863.18 : x
  2. Step 2: Convert to fraction form
    3,460.24/5,190.37 = 863.18/x
  3. Step 3: Cross multiply
    3,460.24x = 5,190.37 × 863.18
  4. Step 4: Simplify right side
    3,460.24x = 4,480,195.47
  5. Step 5: Solve for x
    x = 4,480,195.47/3,460.24
  6. Step 6: Final answer
    x = 1,294.77

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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.