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Finding the Fourth Proportional to 6,103.55, 8,431.80 and 4,122.80

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Solution

The fourth proportional to 6,103.55, 8,431.80 and 4,122.80 is: 5,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.55 : 8,431.80 = 4,122.80 : x
  2. Step 2: Convert to fraction form
    6,103.55/8,431.80 = 4,122.80/x
  3. Step 3: Cross multiply
    6,103.55x = 8,431.80 × 4,122.80
  4. Step 4: Simplify right side
    6,103.55x = 34,762,599.04
  5. Step 5: Solve for x
    x = 34,762,599.04/6,103.55
  6. Step 6: Final answer
    x = 5,695.47

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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.