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Finding the Fourth Proportional to 5,878.74, 8,113.22 and 3,361.05

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Solution

The fourth proportional to 5,878.74, 8,113.22 and 3,361.05 is: 4,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.74 : 8,113.22 = 3,361.05 : x
  2. Step 2: Convert to fraction form
    5,878.74/8,113.22 = 3,361.05/x
  3. Step 3: Cross multiply
    5,878.74x = 8,113.22 × 3,361.05
  4. Step 4: Simplify right side
    5,878.74x = 27,268,938.08
  5. Step 5: Solve for x
    x = 27,268,938.08/5,878.74
  6. Step 6: Final answer
    x = 4,638.57

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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.