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Finding the Fourth Proportional to 4,644.04, 6,961.12 and 2,176.80

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Solution

The fourth proportional to 4,644.04, 6,961.12 and 2,176.80 is: 3,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.04 : 6,961.12 = 2,176.80 : x
  2. Step 2: Convert to fraction form
    4,644.04/6,961.12 = 2,176.80/x
  3. Step 3: Cross multiply
    4,644.04x = 6,961.12 × 2,176.80
  4. Step 4: Simplify right side
    4,644.04x = 15,152,966.02
  5. Step 5: Solve for x
    x = 15,152,966.02/4,644.04
  6. Step 6: Final answer
    x = 3,262.88

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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.