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Finding the Fourth Proportional to 4,176.96, 5,764.16 and 2,313.96

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Solution

The fourth proportional to 4,176.96, 5,764.16 and 2,313.96 is: 3,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.96 : 5,764.16 = 2,313.96 : x
  2. Step 2: Convert to fraction form
    4,176.96/5,764.16 = 2,313.96/x
  3. Step 3: Cross multiply
    4,176.96x = 5,764.16 × 2,313.96
  4. Step 4: Simplify right side
    4,176.96x = 13,338,035.67
  5. Step 5: Solve for x
    x = 13,338,035.67/4,176.96
  6. Step 6: Final answer
    x = 3,193.24

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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.