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Finding the Fourth Proportional to 6,193.78, 8,547.38 and 3,361.22

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Solution

The fourth proportional to 6,193.78, 8,547.38 and 3,361.22 is: 4,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.78 : 8,547.38 = 3,361.22 : x
  2. Step 2: Convert to fraction form
    6,193.78/8,547.38 = 3,361.22/x
  3. Step 3: Cross multiply
    6,193.78x = 8,547.38 × 3,361.22
  4. Step 4: Simplify right side
    6,193.78x = 28,729,624.60
  5. Step 5: Solve for x
    x = 28,729,624.60/6,193.78
  6. Step 6: Final answer
    x = 4,638.46

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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.