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Finding the Fourth Proportional to 3,738.96, 5,166.18 and 2,958.93

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Solution

The fourth proportional to 3,738.96, 5,166.18 and 2,958.93 is: 4,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.96 : 5,166.18 = 2,958.93 : x
  2. Step 2: Convert to fraction form
    3,738.96/5,166.18 = 2,958.93/x
  3. Step 3: Cross multiply
    3,738.96x = 5,166.18 × 2,958.93
  4. Step 4: Simplify right side
    3,738.96x = 15,286,364.99
  5. Step 5: Solve for x
    x = 15,286,364.99/3,738.96
  6. Step 6: Final answer
    x = 4,088.40

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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.