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Finding the Fourth Proportional to 3,975.81, 5,486.63 and 2,207.42

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Solution

The fourth proportional to 3,975.81, 5,486.63 and 2,207.42 is: 3,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.81 : 5,486.63 = 2,207.42 : x
  2. Step 2: Convert to fraction form
    3,975.81/5,486.63 = 2,207.42/x
  3. Step 3: Cross multiply
    3,975.81x = 5,486.63 × 2,207.42
  4. Step 4: Simplify right side
    3,975.81x = 12,111,296.79
  5. Step 5: Solve for x
    x = 12,111,296.79/3,975.81
  6. Step 6: Final answer
    x = 3,046.25

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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.