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Finding the Fourth Proportional to 5,746.25, 7,929.62 and 3,511.87

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Solution

The fourth proportional to 5,746.25, 7,929.62 and 3,511.87 is: 4,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.25 : 7,929.62 = 3,511.87 : x
  2. Step 2: Convert to fraction form
    5,746.25/7,929.62 = 3,511.87/x
  3. Step 3: Cross multiply
    5,746.25x = 7,929.62 × 3,511.87
  4. Step 4: Simplify right side
    5,746.25x = 27,847,794.59
  5. Step 5: Solve for x
    x = 27,847,794.59/5,746.25
  6. Step 6: Final answer
    x = 4,846.26

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