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Finding the Fourth Proportional to 4,151, 5,728.74 and 2,288.36

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Solution

The fourth proportional to 4,151, 5,728.74 and 2,288.36 is: 3,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151 : 5,728.74 = 2,288.36 : x
  2. Step 2: Convert to fraction form
    4,151/5,728.74 = 2,288.36/x
  3. Step 3: Cross multiply
    4,151x = 5,728.74 × 2,288.36
  4. Step 4: Simplify right side
    4,151x = 13,109,419.47
  5. Step 5: Solve for x
    x = 13,109,419.47/4,151
  6. Step 6: Final answer
    x = 3,158.14

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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.