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Finding the Fourth Proportional to 4,835.38, 7,254 and 1,548.22

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Solution

The fourth proportional to 4,835.38, 7,254 and 1,548.22 is: 2,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.38 : 7,254 = 1,548.22 : x
  2. Step 2: Convert to fraction form
    4,835.38/7,254 = 1,548.22/x
  3. Step 3: Cross multiply
    4,835.38x = 7,254 × 1,548.22
  4. Step 4: Simplify right side
    4,835.38x = 11,230,787.88
  5. Step 5: Solve for x
    x = 11,230,787.88/4,835.38
  6. Step 6: Final answer
    x = 2,322.63

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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.