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Finding the Fourth Proportional to 5,374.47, 7,418.31 and 3,250

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Solution

The fourth proportional to 5,374.47, 7,418.31 and 3,250 is: 4,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.47 : 7,418.31 = 3,250 : x
  2. Step 2: Convert to fraction form
    5,374.47/7,418.31 = 3,250/x
  3. Step 3: Cross multiply
    5,374.47x = 7,418.31 × 3,250
  4. Step 4: Simplify right side
    5,374.47x = 24,109,507.50
  5. Step 5: Solve for x
    x = 24,109,507.50/5,374.47
  6. Step 6: Final answer
    x = 4,485.94

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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.