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Finding the Fourth Proportional to 4,805.94, 7,161.81 and 4,649.34

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Solution

The fourth proportional to 4,805.94, 7,161.81 and 4,649.34 is: 6,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.94 : 7,161.81 = 4,649.34 : x
  2. Step 2: Convert to fraction form
    4,805.94/7,161.81 = 4,649.34/x
  3. Step 3: Cross multiply
    4,805.94x = 7,161.81 × 4,649.34
  4. Step 4: Simplify right side
    4,805.94x = 33,297,689.71
  5. Step 5: Solve for x
    x = 33,297,689.71/4,805.94
  6. Step 6: Final answer
    x = 6,928.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.