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Finding the Fourth Proportional to 3,442.86, 5,163.54 and 977.64

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Solution

The fourth proportional to 3,442.86, 5,163.54 and 977.64 is: 1,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.86 : 5,163.54 = 977.64 : x
  2. Step 2: Convert to fraction form
    3,442.86/5,163.54 = 977.64/x
  3. Step 3: Cross multiply
    3,442.86x = 5,163.54 × 977.64
  4. Step 4: Simplify right side
    3,442.86x = 5,048,083.25
  5. Step 5: Solve for x
    x = 5,048,083.25/3,442.86
  6. Step 6: Final answer
    x = 1,466.25

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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.