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Finding the Fourth Proportional to 5,167.51, 7,744.32 and 2,824.01

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Solution

The fourth proportional to 5,167.51, 7,744.32 and 2,824.01 is: 4,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.51 : 7,744.32 = 2,824.01 : x
  2. Step 2: Convert to fraction form
    5,167.51/7,744.32 = 2,824.01/x
  3. Step 3: Cross multiply
    5,167.51x = 7,744.32 × 2,824.01
  4. Step 4: Simplify right side
    5,167.51x = 21,869,998.40
  5. Step 5: Solve for x
    x = 21,869,998.40/5,167.51
  6. Step 6: Final answer
    x = 4,232.22

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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.