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Finding the Fourth Proportional to 3,829.07, 5,282.21 and 2,568.51

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Solution

The fourth proportional to 3,829.07, 5,282.21 and 2,568.51 is: 3,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.07 : 5,282.21 = 2,568.51 : x
  2. Step 2: Convert to fraction form
    3,829.07/5,282.21 = 2,568.51/x
  3. Step 3: Cross multiply
    3,829.07x = 5,282.21 × 2,568.51
  4. Step 4: Simplify right side
    3,829.07x = 13,567,415.63
  5. Step 5: Solve for x
    x = 13,567,415.63/3,829.07
  6. Step 6: Final answer
    x = 3,543.26

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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.