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Finding the Fourth Proportional to 4,156.57, 5,736.12 and 2,364.14

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Solution

The fourth proportional to 4,156.57, 5,736.12 and 2,364.14 is: 3,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.57 : 5,736.12 = 2,364.14 : x
  2. Step 2: Convert to fraction form
    4,156.57/5,736.12 = 2,364.14/x
  3. Step 3: Cross multiply
    4,156.57x = 5,736.12 × 2,364.14
  4. Step 4: Simplify right side
    4,156.57x = 13,560,950.24
  5. Step 5: Solve for x
    x = 13,560,950.24/4,156.57
  6. Step 6: Final answer
    x = 3,262.54

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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.