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Finding the Fourth Proportional to 6,124.93, 8,450.92 and 3,886

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Solution

The fourth proportional to 6,124.93, 8,450.92 and 3,886 is: 5,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.93 : 8,450.92 = 3,886 : x
  2. Step 2: Convert to fraction form
    6,124.93/8,450.92 = 3,886/x
  3. Step 3: Cross multiply
    6,124.93x = 8,450.92 × 3,886
  4. Step 4: Simplify right side
    6,124.93x = 32,840,275.12
  5. Step 5: Solve for x
    x = 32,840,275.12/6,124.93
  6. Step 6: Final answer
    x = 5,361.74

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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.