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Finding the Fourth Proportional to 4,893.69, 7,339.19 and 1,606.17

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Solution

The fourth proportional to 4,893.69, 7,339.19 and 1,606.17 is: 2,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.69 : 7,339.19 = 1,606.17 : x
  2. Step 2: Convert to fraction form
    4,893.69/7,339.19 = 1,606.17/x
  3. Step 3: Cross multiply
    4,893.69x = 7,339.19 × 1,606.17
  4. Step 4: Simplify right side
    4,893.69x = 11,787,978.77
  5. Step 5: Solve for x
    x = 11,787,978.77/4,893.69
  6. Step 6: Final answer
    x = 2,408.81

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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.