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Finding the Fourth Proportional to 4,100, 6,152.52 and 2,153.60

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Solution

The fourth proportional to 4,100, 6,152.52 and 2,153.60 is: 3,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 6,152.52 = 2,153.60 : x
  2. Step 2: Convert to fraction form
    4,100/6,152.52 = 2,153.60/x
  3. Step 3: Cross multiply
    4,100x = 6,152.52 × 2,153.60
  4. Step 4: Simplify right side
    4,100x = 13,250,067.07
  5. Step 5: Solve for x
    x = 13,250,067.07/4,100
  6. Step 6: Final answer
    x = 3,231.72

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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.