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Finding the Fourth Proportional to 3,442.07, 5,163.10 and 976.91

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Solution

The fourth proportional to 3,442.07, 5,163.10 and 976.91 is: 1,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.07 : 5,163.10 = 976.91 : x
  2. Step 2: Convert to fraction form
    3,442.07/5,163.10 = 976.91/x
  3. Step 3: Cross multiply
    3,442.07x = 5,163.10 × 976.91
  4. Step 4: Simplify right side
    3,442.07x = 5,043,884.02
  5. Step 5: Solve for x
    x = 5,043,884.02/3,442.07
  6. Step 6: Final answer
    x = 1,465.36

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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.