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Finding the Fourth Proportional to 4,824.39, 7,193.25 and 4,412.51

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Solution

The fourth proportional to 4,824.39, 7,193.25 and 4,412.51 is: 6,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.39 : 7,193.25 = 4,412.51 : x
  2. Step 2: Convert to fraction form
    4,824.39/7,193.25 = 4,412.51/x
  3. Step 3: Cross multiply
    4,824.39x = 7,193.25 × 4,412.51
  4. Step 4: Simplify right side
    4,824.39x = 31,740,287.56
  5. Step 5: Solve for x
    x = 31,740,287.56/4,824.39
  6. Step 6: Final answer
    x = 6,579.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.