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Finding the Fourth Proportional to 5,294.58, 7,289.82 and 4,496.31

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Solution

The fourth proportional to 5,294.58, 7,289.82 and 4,496.31 is: 6,190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.58 : 7,289.82 = 4,496.31 : x
  2. Step 2: Convert to fraction form
    5,294.58/7,289.82 = 4,496.31/x
  3. Step 3: Cross multiply
    5,294.58x = 7,289.82 × 4,496.31
  4. Step 4: Simplify right side
    5,294.58x = 32,777,290.56
  5. Step 5: Solve for x
    x = 32,777,290.56/5,294.58
  6. Step 6: Final answer
    x = 6,190.73

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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.