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Finding the Fourth Proportional to 5,682.22, 7,829.67 and 5,309.62

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Solution

The fourth proportional to 5,682.22, 7,829.67 and 5,309.62 is: 7,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.22 : 7,829.67 = 5,309.62 : x
  2. Step 2: Convert to fraction form
    5,682.22/7,829.67 = 5,309.62/x
  3. Step 3: Cross multiply
    5,682.22x = 7,829.67 × 5,309.62
  4. Step 4: Simplify right side
    5,682.22x = 41,572,572.43
  5. Step 5: Solve for x
    x = 41,572,572.43/5,682.22
  6. Step 6: Final answer
    x = 7,316.26

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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.