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Finding the Fourth Proportional to 5,294.43, 7,289.60 and 4,662.63

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Solution

The fourth proportional to 5,294.43, 7,289.60 and 4,662.63 is: 6,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.43 : 7,289.60 = 4,662.63 : x
  2. Step 2: Convert to fraction form
    5,294.43/7,289.60 = 4,662.63/x
  3. Step 3: Cross multiply
    5,294.43x = 7,289.60 × 4,662.63
  4. Step 4: Simplify right side
    5,294.43x = 33,988,684.33
  5. Step 5: Solve for x
    x = 33,988,684.33/5,294.43
  6. Step 6: Final answer
    x = 6,419.71

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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.