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Finding the Fourth Proportional to 6,522.10, 9,000.50 and 3,537.98

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Solution

The fourth proportional to 6,522.10, 9,000.50 and 3,537.98 is: 4,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.10 : 9,000.50 = 3,537.98 : x
  2. Step 2: Convert to fraction form
    6,522.10/9,000.50 = 3,537.98/x
  3. Step 3: Cross multiply
    6,522.10x = 9,000.50 × 3,537.98
  4. Step 4: Simplify right side
    6,522.10x = 31,843,588.99
  5. Step 5: Solve for x
    x = 31,843,588.99/6,522.10
  6. Step 6: Final answer
    x = 4,882.41

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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.