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Finding the Fourth Proportional to 4,151.57, 5,729.16 and 2,288.57

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Solution

The fourth proportional to 4,151.57, 5,729.16 and 2,288.57 is: 3,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.57 : 5,729.16 = 2,288.57 : x
  2. Step 2: Convert to fraction form
    4,151.57/5,729.16 = 2,288.57/x
  3. Step 3: Cross multiply
    4,151.57x = 5,729.16 × 2,288.57
  4. Step 4: Simplify right side
    4,151.57x = 13,111,555.06
  5. Step 5: Solve for x
    x = 13,111,555.06/4,151.57
  6. Step 6: Final answer
    x = 3,158.22

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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.