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Finding the Fourth Proportional to 6,159.15, 8,497.22 and 3,797.19

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Solution

The fourth proportional to 6,159.15, 8,497.22 and 3,797.19 is: 5,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.15 : 8,497.22 = 3,797.19 : x
  2. Step 2: Convert to fraction form
    6,159.15/8,497.22 = 3,797.19/x
  3. Step 3: Cross multiply
    6,159.15x = 8,497.22 × 3,797.19
  4. Step 4: Simplify right side
    6,159.15x = 32,265,539.83
  5. Step 5: Solve for x
    x = 32,265,539.83/6,159.15
  6. Step 6: Final answer
    x = 5,238.64

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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.