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Finding the Fourth Proportional to 5,105.55, 7,648.20 and 4,496.70

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Solution

The fourth proportional to 5,105.55, 7,648.20 and 4,496.70 is: 6,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.55 : 7,648.20 = 4,496.70 : x
  2. Step 2: Convert to fraction form
    5,105.55/7,648.20 = 4,496.70/x
  3. Step 3: Cross multiply
    5,105.55x = 7,648.20 × 4,496.70
  4. Step 4: Simplify right side
    5,105.55x = 34,391,660.94
  5. Step 5: Solve for x
    x = 34,391,660.94/5,105.55
  6. Step 6: Final answer
    x = 6,736.13

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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.