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Finding the Fourth Proportional to 5,364.44, 7,403.38 and 3,006.80

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Solution

The fourth proportional to 5,364.44, 7,403.38 and 3,006.80 is: 4,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.44 : 7,403.38 = 3,006.80 : x
  2. Step 2: Convert to fraction form
    5,364.44/7,403.38 = 3,006.80/x
  3. Step 3: Cross multiply
    5,364.44x = 7,403.38 × 3,006.80
  4. Step 4: Simplify right side
    5,364.44x = 22,260,482.98
  5. Step 5: Solve for x
    x = 22,260,482.98/5,364.44
  6. Step 6: Final answer
    x = 4,149.64

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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.