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Finding the Fourth Proportional to 6,103.05, 8,421.21 and 3,584.63

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Solution

The fourth proportional to 6,103.05, 8,421.21 and 3,584.63 is: 4,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.05 : 8,421.21 = 3,584.63 : x
  2. Step 2: Convert to fraction form
    6,103.05/8,421.21 = 3,584.63/x
  3. Step 3: Cross multiply
    6,103.05x = 8,421.21 × 3,584.63
  4. Step 4: Simplify right side
    6,103.05x = 30,186,879.90
  5. Step 5: Solve for x
    x = 30,186,879.90/6,103.05
  6. Step 6: Final answer
    x = 4,946.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.