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Finding the Fourth Proportional to 3,929.04, 5,893.56 and 1,007.58

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Solution

The fourth proportional to 3,929.04, 5,893.56 and 1,007.58 is: 1,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.04 : 5,893.56 = 1,007.58 : x
  2. Step 2: Convert to fraction form
    3,929.04/5,893.56 = 1,007.58/x
  3. Step 3: Cross multiply
    3,929.04x = 5,893.56 × 1,007.58
  4. Step 4: Simplify right side
    3,929.04x = 5,938,233.18
  5. Step 5: Solve for x
    x = 5,938,233.18/3,929.04
  6. Step 6: Final answer
    x = 1,511.37

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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.