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Finding the Fourth Proportional to 4,106, 6,161.52 and 2,159.60

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Solution

The fourth proportional to 4,106, 6,161.52 and 2,159.60 is: 3,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 6,161.52 = 2,159.60 : x
  2. Step 2: Convert to fraction form
    4,106/6,161.52 = 2,159.60/x
  3. Step 3: Cross multiply
    4,106x = 6,161.52 × 2,159.60
  4. Step 4: Simplify right side
    4,106x = 13,306,418.59
  5. Step 5: Solve for x
    x = 13,306,418.59/4,106
  6. Step 6: Final answer
    x = 3,240.73

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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.