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Finding the Fourth Proportional to 5,673.22, 7,822.26 and 3,683.05

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Solution

The fourth proportional to 5,673.22, 7,822.26 and 3,683.05 is: 5,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.22 : 7,822.26 = 3,683.05 : x
  2. Step 2: Convert to fraction form
    5,673.22/7,822.26 = 3,683.05/x
  3. Step 3: Cross multiply
    5,673.22x = 7,822.26 × 3,683.05
  4. Step 4: Simplify right side
    5,673.22x = 28,809,774.69
  5. Step 5: Solve for x
    x = 28,809,774.69/5,673.22
  6. Step 6: Final answer
    x = 5,078.21

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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.