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Finding the Fourth Proportional to 4,239, 5,847.53 and 2,561.09

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Solution

The fourth proportional to 4,239, 5,847.53 and 2,561.09 is: 3,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239 : 5,847.53 = 2,561.09 : x
  2. Step 2: Convert to fraction form
    4,239/5,847.53 = 2,561.09/x
  3. Step 3: Cross multiply
    4,239x = 5,847.53 × 2,561.09
  4. Step 4: Simplify right side
    4,239x = 14,976,008.56
  5. Step 5: Solve for x
    x = 14,976,008.56/4,239
  6. Step 6: Final answer
    x = 3,532.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.