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Finding the Fourth Proportional to 3,605.22, 5,406.75 and 1,007.82

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Solution

The fourth proportional to 3,605.22, 5,406.75 and 1,007.82 is: 1,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.22 : 5,406.75 = 1,007.82 : x
  2. Step 2: Convert to fraction form
    3,605.22/5,406.75 = 1,007.82/x
  3. Step 3: Cross multiply
    3,605.22x = 5,406.75 × 1,007.82
  4. Step 4: Simplify right side
    3,605.22x = 5,449,030.79
  5. Step 5: Solve for x
    x = 5,449,030.79/3,605.22
  6. Step 6: Final answer
    x = 1,511.43

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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.