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Finding the Fourth Proportional to 5,338.69, 7,367.10 and 2,980.98

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Solution

The fourth proportional to 5,338.69, 7,367.10 and 2,980.98 is: 4,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.69 : 7,367.10 = 2,980.98 : x
  2. Step 2: Convert to fraction form
    5,338.69/7,367.10 = 2,980.98/x
  3. Step 3: Cross multiply
    5,338.69x = 7,367.10 × 2,980.98
  4. Step 4: Simplify right side
    5,338.69x = 21,961,194.21
  5. Step 5: Solve for x
    x = 21,961,194.21/5,338.69
  6. Step 6: Final answer
    x = 4,113.59

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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.