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Finding the Fourth Proportional to 4,961.53, 7,438.02 and 2,852.71

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Solution

The fourth proportional to 4,961.53, 7,438.02 and 2,852.71 is: 4,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.53 : 7,438.02 = 2,852.71 : x
  2. Step 2: Convert to fraction form
    4,961.53/7,438.02 = 2,852.71/x
  3. Step 3: Cross multiply
    4,961.53x = 7,438.02 × 2,852.71
  4. Step 4: Simplify right side
    4,961.53x = 21,218,514.03
  5. Step 5: Solve for x
    x = 21,218,514.03/4,961.53
  6. Step 6: Final answer
    x = 4,276.61

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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.