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Finding the Fourth Proportional to 5,745.92, 7,929.14 and 3,511.53

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Solution

The fourth proportional to 5,745.92, 7,929.14 and 3,511.53 is: 4,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.92 : 7,929.14 = 3,511.53 : x
  2. Step 2: Convert to fraction form
    5,745.92/7,929.14 = 3,511.53/x
  3. Step 3: Cross multiply
    5,745.92x = 7,929.14 × 3,511.53
  4. Step 4: Simplify right side
    5,745.92x = 27,843,395.43
  5. Step 5: Solve for x
    x = 27,843,395.43/5,745.92
  6. Step 6: Final answer
    x = 4,845.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.