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Finding the Fourth Proportional to 4,549.37, 6,824.43 and 1,262.48

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Solution

The fourth proportional to 4,549.37, 6,824.43 and 1,262.48 is: 1,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.37 : 6,824.43 = 1,262.48 : x
  2. Step 2: Convert to fraction form
    4,549.37/6,824.43 = 1,262.48/x
  3. Step 3: Cross multiply
    4,549.37x = 6,824.43 × 1,262.48
  4. Step 4: Simplify right side
    4,549.37x = 8,615,672.26
  5. Step 5: Solve for x
    x = 8,615,672.26/4,549.37
  6. Step 6: Final answer
    x = 1,893.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.