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Finding the Fourth Proportional to 6,114.45, 8,438.13 and 3,461.80

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Solution

The fourth proportional to 6,114.45, 8,438.13 and 3,461.80 is: 4,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.45 : 8,438.13 = 3,461.80 : x
  2. Step 2: Convert to fraction form
    6,114.45/8,438.13 = 3,461.80/x
  3. Step 3: Cross multiply
    6,114.45x = 8,438.13 × 3,461.80
  4. Step 4: Simplify right side
    6,114.45x = 29,211,118.43
  5. Step 5: Solve for x
    x = 29,211,118.43/6,114.45
  6. Step 6: Final answer
    x = 4,777.39

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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.