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Finding the Fourth Proportional to 4,644.07, 6,966.50 and 1,181.32

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Solution

The fourth proportional to 4,644.07, 6,966.50 and 1,181.32 is: 1,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.07 : 6,966.50 = 1,181.32 : x
  2. Step 2: Convert to fraction form
    4,644.07/6,966.50 = 1,181.32/x
  3. Step 3: Cross multiply
    4,644.07x = 6,966.50 × 1,181.32
  4. Step 4: Simplify right side
    4,644.07x = 8,229,665.78
  5. Step 5: Solve for x
    x = 8,229,665.78/4,644.07
  6. Step 6: Final answer
    x = 1,772.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.