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Finding the Fourth Proportional to 3,929.37, 5,894.39 and 1,007.67

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Solution

The fourth proportional to 3,929.37, 5,894.39 and 1,007.67 is: 1,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.37 : 5,894.39 = 1,007.67 : x
  2. Step 2: Convert to fraction form
    3,929.37/5,894.39 = 1,007.67/x
  3. Step 3: Cross multiply
    3,929.37x = 5,894.39 × 1,007.67
  4. Step 4: Simplify right side
    3,929.37x = 5,939,602.49
  5. Step 5: Solve for x
    x = 5,939,602.49/3,929.37
  6. Step 6: Final answer
    x = 1,511.59

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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.