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Finding the Fourth Proportional to 5,506.53, 8,239.17 and 3,277.21

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Solution

The fourth proportional to 5,506.53, 8,239.17 and 3,277.21 is: 4,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.53 : 8,239.17 = 3,277.21 : x
  2. Step 2: Convert to fraction form
    5,506.53/8,239.17 = 3,277.21/x
  3. Step 3: Cross multiply
    5,506.53x = 8,239.17 × 3,277.21
  4. Step 4: Simplify right side
    5,506.53x = 27,001,479.02
  5. Step 5: Solve for x
    x = 27,001,479.02/5,506.53
  6. Step 6: Final answer
    x = 4,903.54

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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.