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Finding the Fourth Proportional to 4,670.12, 7,003.04 and 1,382.04

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Solution

The fourth proportional to 4,670.12, 7,003.04 and 1,382.04 is: 2,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.12 : 7,003.04 = 1,382.04 : x
  2. Step 2: Convert to fraction form
    4,670.12/7,003.04 = 1,382.04/x
  3. Step 3: Cross multiply
    4,670.12x = 7,003.04 × 1,382.04
  4. Step 4: Simplify right side
    4,670.12x = 9,678,481.40
  5. Step 5: Solve for x
    x = 9,678,481.40/4,670.12
  6. Step 6: Final answer
    x = 2,072.43

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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.