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Finding the Fourth Proportional to 3,548.93, 4,892.27 and 2,272.67

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Solution

The fourth proportional to 3,548.93, 4,892.27 and 2,272.67 is: 3,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.93 : 4,892.27 = 2,272.67 : x
  2. Step 2: Convert to fraction form
    3,548.93/4,892.27 = 2,272.67/x
  3. Step 3: Cross multiply
    3,548.93x = 4,892.27 × 2,272.67
  4. Step 4: Simplify right side
    3,548.93x = 11,118,523.84
  5. Step 5: Solve for x
    x = 11,118,523.84/3,548.93
  6. Step 6: Final answer
    x = 3,132.92

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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.