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Finding the Fourth Proportional to 5,648.96, 7,795.55 and 3,164.96

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Solution

The fourth proportional to 5,648.96, 7,795.55 and 3,164.96 is: 4,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.96 : 7,795.55 = 3,164.96 : x
  2. Step 2: Convert to fraction form
    5,648.96/7,795.55 = 3,164.96/x
  3. Step 3: Cross multiply
    5,648.96x = 7,795.55 × 3,164.96
  4. Step 4: Simplify right side
    5,648.96x = 24,672,588.10
  5. Step 5: Solve for x
    x = 24,672,588.10/5,648.96
  6. Step 6: Final answer
    x = 4,367.63

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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.