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Finding the Fourth Proportional to 4,644.08, 6,966.12 and 1,181.32

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Solution

The fourth proportional to 4,644.08, 6,966.12 and 1,181.32 is: 1,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.08 : 6,966.12 = 1,181.32 : x
  2. Step 2: Convert to fraction form
    4,644.08/6,966.12 = 1,181.32/x
  3. Step 3: Cross multiply
    4,644.08x = 6,966.12 × 1,181.32
  4. Step 4: Simplify right side
    4,644.08x = 8,229,216.88
  5. Step 5: Solve for x
    x = 8,229,216.88/4,644.08
  6. Step 6: Final answer
    x = 1,771.98

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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.