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Finding the Fourth Proportional to 4,103.94, 6,155.86 and 2,159.94

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Solution

The fourth proportional to 4,103.94, 6,155.86 and 2,159.94 is: 3,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.94 : 6,155.86 = 2,159.94 : x
  2. Step 2: Convert to fraction form
    4,103.94/6,155.86 = 2,159.94/x
  3. Step 3: Cross multiply
    4,103.94x = 6,155.86 × 2,159.94
  4. Step 4: Simplify right side
    4,103.94x = 13,296,288.25
  5. Step 5: Solve for x
    x = 13,296,288.25/4,103.94
  6. Step 6: Final answer
    x = 3,239.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.