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Finding the Fourth Proportional to 3,460.16, 5,186.96 and 1,150

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Solution

The fourth proportional to 3,460.16, 5,186.96 and 1,150 is: 1,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.16 : 5,186.96 = 1,150 : x
  2. Step 2: Convert to fraction form
    3,460.16/5,186.96 = 1,150/x
  3. Step 3: Cross multiply
    3,460.16x = 5,186.96 × 1,150
  4. Step 4: Simplify right side
    3,460.16x = 5,965,004
  5. Step 5: Solve for x
    x = 5,965,004/3,460.16
  6. Step 6: Final answer
    x = 1,723.91

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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.