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Finding the Fourth Proportional to 3,494.48, 5,243.52 and 1,548.06

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Solution

The fourth proportional to 3,494.48, 5,243.52 and 1,548.06 is: 2,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.48 : 5,243.52 = 1,548.06 : x
  2. Step 2: Convert to fraction form
    3,494.48/5,243.52 = 1,548.06/x
  3. Step 3: Cross multiply
    3,494.48x = 5,243.52 × 1,548.06
  4. Step 4: Simplify right side
    3,494.48x = 8,117,283.57
  5. Step 5: Solve for x
    x = 8,117,283.57/3,494.48
  6. Step 6: Final answer
    x = 2,322.89

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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.