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Finding the Fourth Proportional to 6,155.86, 8,495.10 and 3,361.36

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Solution

The fourth proportional to 6,155.86, 8,495.10 and 3,361.36 is: 4,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.86 : 8,495.10 = 3,361.36 : x
  2. Step 2: Convert to fraction form
    6,155.86/8,495.10 = 3,361.36/x
  3. Step 3: Cross multiply
    6,155.86x = 8,495.10 × 3,361.36
  4. Step 4: Simplify right side
    6,155.86x = 28,555,089.34
  5. Step 5: Solve for x
    x = 28,555,089.34/6,155.86
  6. Step 6: Final answer
    x = 4,638.68

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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.