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Finding the Fourth Proportional to 5,402.98, 7,448.71 and 3,412.54

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Solution

The fourth proportional to 5,402.98, 7,448.71 and 3,412.54 is: 4,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.98 : 7,448.71 = 3,412.54 : x
  2. Step 2: Convert to fraction form
    5,402.98/7,448.71 = 3,412.54/x
  3. Step 3: Cross multiply
    5,402.98x = 7,448.71 × 3,412.54
  4. Step 4: Simplify right side
    5,402.98x = 25,418,975.05
  5. Step 5: Solve for x
    x = 25,418,975.05/5,402.98
  6. Step 6: Final answer
    x = 4,704.63

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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.