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Finding the Fourth Proportional to 3,484.53, 5,227.40 and 1,729.64

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Solution

The fourth proportional to 3,484.53, 5,227.40 and 1,729.64 is: 2,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.53 : 5,227.40 = 1,729.64 : x
  2. Step 2: Convert to fraction form
    3,484.53/5,227.40 = 1,729.64/x
  3. Step 3: Cross multiply
    3,484.53x = 5,227.40 × 1,729.64
  4. Step 4: Simplify right side
    3,484.53x = 9,041,537.53
  5. Step 5: Solve for x
    x = 9,041,537.53/3,484.53
  6. Step 6: Final answer
    x = 2,594.77

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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.