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Finding the Fourth Proportional to 3,984.51, 5,497.16 and 2,412.03

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Solution

The fourth proportional to 3,984.51, 5,497.16 and 2,412.03 is: 3,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.51 : 5,497.16 = 2,412.03 : x
  2. Step 2: Convert to fraction form
    3,984.51/5,497.16 = 2,412.03/x
  3. Step 3: Cross multiply
    3,984.51x = 5,497.16 × 2,412.03
  4. Step 4: Simplify right side
    3,984.51x = 13,259,302.77
  5. Step 5: Solve for x
    x = 13,259,302.77/3,984.51
  6. Step 6: Final answer
    x = 3,327.71

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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.