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Finding the Fourth Proportional to 5,506.62, 8,262.25 and 3,428.36

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Solution

The fourth proportional to 5,506.62, 8,262.25 and 3,428.36 is: 5,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.62 : 8,262.25 = 3,428.36 : x
  2. Step 2: Convert to fraction form
    5,506.62/8,262.25 = 3,428.36/x
  3. Step 3: Cross multiply
    5,506.62x = 8,262.25 × 3,428.36
  4. Step 4: Simplify right side
    5,506.62x = 28,325,950.27
  5. Step 5: Solve for x
    x = 28,325,950.27/5,506.62
  6. Step 6: Final answer
    x = 5,143.98

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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.