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Finding the Fourth Proportional to 6,114.48, 8,438.28 and 3,462

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Solution

The fourth proportional to 6,114.48, 8,438.28 and 3,462 is: 4,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.48 : 8,438.28 = 3,462 : x
  2. Step 2: Convert to fraction form
    6,114.48/8,438.28 = 3,462/x
  3. Step 3: Cross multiply
    6,114.48x = 8,438.28 × 3,462
  4. Step 4: Simplify right side
    6,114.48x = 29,213,325.36
  5. Step 5: Solve for x
    x = 29,213,325.36/6,114.48
  6. Step 6: Final answer
    x = 4,777.73

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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.