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Finding the Fourth Proportional to 4,733.70, 6,532.36 and 2,609.25

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Solution

The fourth proportional to 4,733.70, 6,532.36 and 2,609.25 is: 3,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.70 : 6,532.36 = 2,609.25 : x
  2. Step 2: Convert to fraction form
    4,733.70/6,532.36 = 2,609.25/x
  3. Step 3: Cross multiply
    4,733.70x = 6,532.36 × 2,609.25
  4. Step 4: Simplify right side
    4,733.70x = 17,044,560.33
  5. Step 5: Solve for x
    x = 17,044,560.33/4,733.70
  6. Step 6: Final answer
    x = 3,600.68

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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.