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Finding the Fourth Proportional to 4,693.11, 7,042.11 and 3,405.21

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Solution

The fourth proportional to 4,693.11, 7,042.11 and 3,405.21 is: 5,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.11 : 7,042.11 = 3,405.21 : x
  2. Step 2: Convert to fraction form
    4,693.11/7,042.11 = 3,405.21/x
  3. Step 3: Cross multiply
    4,693.11x = 7,042.11 × 3,405.21
  4. Step 4: Simplify right side
    4,693.11x = 23,979,863.39
  5. Step 5: Solve for x
    x = 23,979,863.39/4,693.11
  6. Step 6: Final answer
    x = 5,109.59

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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.