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Finding the Fourth Proportional to 5,364.80, 7,403.02 and 3,006.49

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Solution

The fourth proportional to 5,364.80, 7,403.02 and 3,006.49 is: 4,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.80 : 7,403.02 = 3,006.49 : x
  2. Step 2: Convert to fraction form
    5,364.80/7,403.02 = 3,006.49/x
  3. Step 3: Cross multiply
    5,364.80x = 7,403.02 × 3,006.49
  4. Step 4: Simplify right side
    5,364.80x = 22,257,105.60
  5. Step 5: Solve for x
    x = 22,257,105.60/5,364.80
  6. Step 6: Final answer
    x = 4,148.73

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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.