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Finding the Fourth Proportional to 6,155.68, 8,494.72 and 3,361.20

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Solution

The fourth proportional to 6,155.68, 8,494.72 and 3,361.20 is: 4,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.68 : 8,494.72 = 3,361.20 : x
  2. Step 2: Convert to fraction form
    6,155.68/8,494.72 = 3,361.20/x
  3. Step 3: Cross multiply
    6,155.68x = 8,494.72 × 3,361.20
  4. Step 4: Simplify right side
    6,155.68x = 28,552,452.86
  5. Step 5: Solve for x
    x = 28,552,452.86/6,155.68
  6. Step 6: Final answer
    x = 4,638.39

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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.