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Finding the Fourth Proportional to 6,133.41, 8,462.95 and 3,616.31

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Solution

The fourth proportional to 6,133.41, 8,462.95 and 3,616.31 is: 4,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.41 : 8,462.95 = 3,616.31 : x
  2. Step 2: Convert to fraction form
    6,133.41/8,462.95 = 3,616.31/x
  3. Step 3: Cross multiply
    6,133.41x = 8,462.95 × 3,616.31
  4. Step 4: Simplify right side
    6,133.41x = 30,604,650.71
  5. Step 5: Solve for x
    x = 30,604,650.71/6,133.41
  6. Step 6: Final answer
    x = 4,989.83

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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.