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Finding the Fourth Proportional to 4,672.96, 7,001.63 and 3,283.81

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Solution

The fourth proportional to 4,672.96, 7,001.63 and 3,283.81 is: 4,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.96 : 7,001.63 = 3,283.81 : x
  2. Step 2: Convert to fraction form
    4,672.96/7,001.63 = 3,283.81/x
  3. Step 3: Cross multiply
    4,672.96x = 7,001.63 × 3,283.81
  4. Step 4: Simplify right side
    4,672.96x = 22,991,979.39
  5. Step 5: Solve for x
    x = 22,991,979.39/4,672.96
  6. Step 6: Final answer
    x = 4,920.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.