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Finding the Fourth Proportional to 4,156.99, 5,734.09 and 2,740.81

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Solution

The fourth proportional to 4,156.99, 5,734.09 and 2,740.81 is: 3,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.99 : 5,734.09 = 2,740.81 : x
  2. Step 2: Convert to fraction form
    4,156.99/5,734.09 = 2,740.81/x
  3. Step 3: Cross multiply
    4,156.99x = 5,734.09 × 2,740.81
  4. Step 4: Simplify right side
    4,156.99x = 15,716,051.21
  5. Step 5: Solve for x
    x = 15,716,051.21/4,156.99
  6. Step 6: Final answer
    x = 3,780.63

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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.