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Finding the Fourth Proportional to 3,469.74, 5,205.33 and 2,658.30

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Solution

The fourth proportional to 3,469.74, 5,205.33 and 2,658.30 is: 3,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.74 : 5,205.33 = 2,658.30 : x
  2. Step 2: Convert to fraction form
    3,469.74/5,205.33 = 2,658.30/x
  3. Step 3: Cross multiply
    3,469.74x = 5,205.33 × 2,658.30
  4. Step 4: Simplify right side
    3,469.74x = 13,837,328.74
  5. Step 5: Solve for x
    x = 13,837,328.74/3,469.74
  6. Step 6: Final answer
    x = 3,988.00

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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.