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Finding the Fourth Proportional to 5,438.54, 7,504.92 and 3,048.22

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Solution

The fourth proportional to 5,438.54, 7,504.92 and 3,048.22 is: 4,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.54 : 7,504.92 = 3,048.22 : x
  2. Step 2: Convert to fraction form
    5,438.54/7,504.92 = 3,048.22/x
  3. Step 3: Cross multiply
    5,438.54x = 7,504.92 × 3,048.22
  4. Step 4: Simplify right side
    5,438.54x = 22,876,647.24
  5. Step 5: Solve for x
    x = 22,876,647.24/5,438.54
  6. Step 6: Final answer
    x = 4,206.39

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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.