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Finding the Fourth Proportional to 3,929.16, 5,894.09 and 1,007.49

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Solution

The fourth proportional to 3,929.16, 5,894.09 and 1,007.49 is: 1,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.16 : 5,894.09 = 1,007.49 : x
  2. Step 2: Convert to fraction form
    3,929.16/5,894.09 = 1,007.49/x
  3. Step 3: Cross multiply
    3,929.16x = 5,894.09 × 1,007.49
  4. Step 4: Simplify right side
    3,929.16x = 5,938,213.37
  5. Step 5: Solve for x
    x = 5,938,213.37/3,929.16
  6. Step 6: Final answer
    x = 1,511.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.