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Finding the Fourth Proportional to 5,412.41, 7,469.78 and 3,424.98

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Solution

The fourth proportional to 5,412.41, 7,469.78 and 3,424.98 is: 4,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.41 : 7,469.78 = 3,424.98 : x
  2. Step 2: Convert to fraction form
    5,412.41/7,469.78 = 3,424.98/x
  3. Step 3: Cross multiply
    5,412.41x = 7,469.78 × 3,424.98
  4. Step 4: Simplify right side
    5,412.41x = 25,583,829.98
  5. Step 5: Solve for x
    x = 25,583,829.98/5,412.41
  6. Step 6: Final answer
    x = 4,726.89

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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.