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Finding the Fourth Proportional to 4,975.68, 6,867.06 and 3,212.40

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Solution

The fourth proportional to 4,975.68, 6,867.06 and 3,212.40 is: 4,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.68 : 6,867.06 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    4,975.68/6,867.06 = 3,212.40/x
  3. Step 3: Cross multiply
    4,975.68x = 6,867.06 × 3,212.40
  4. Step 4: Simplify right side
    4,975.68x = 22,059,743.54
  5. Step 5: Solve for x
    x = 22,059,743.54/4,975.68
  6. Step 6: Final answer
    x = 4,433.51

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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.