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Finding the Fourth Proportional to 3,442.06, 5,163.29 and 976.69

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Solution

The fourth proportional to 3,442.06, 5,163.29 and 976.69 is: 1,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.06 : 5,163.29 = 976.69 : x
  2. Step 2: Convert to fraction form
    3,442.06/5,163.29 = 976.69/x
  3. Step 3: Cross multiply
    3,442.06x = 5,163.29 × 976.69
  4. Step 4: Simplify right side
    3,442.06x = 5,042,903.01
  5. Step 5: Solve for x
    x = 5,042,903.01/3,442.06
  6. Step 6: Final answer
    x = 1,465.08

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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.