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Finding the Fourth Proportional to 3,442.58, 5,163.86 and 977.42

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Solution

The fourth proportional to 3,442.58, 5,163.86 and 977.42 is: 1,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.58 : 5,163.86 = 977.42 : x
  2. Step 2: Convert to fraction form
    3,442.58/5,163.86 = 977.42/x
  3. Step 3: Cross multiply
    3,442.58x = 5,163.86 × 977.42
  4. Step 4: Simplify right side
    3,442.58x = 5,047,229.33
  5. Step 5: Solve for x
    x = 5,047,229.33/3,442.58
  6. Step 6: Final answer
    x = 1,466.12

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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.