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Finding the Fourth Proportional to 5,728.68, 7,905.86 and 3,576.51

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Solution

The fourth proportional to 5,728.68, 7,905.86 and 3,576.51 is: 4,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.68 : 7,905.86 = 3,576.51 : x
  2. Step 2: Convert to fraction form
    5,728.68/7,905.86 = 3,576.51/x
  3. Step 3: Cross multiply
    5,728.68x = 7,905.86 × 3,576.51
  4. Step 4: Simplify right side
    5,728.68x = 28,275,339.82
  5. Step 5: Solve for x
    x = 28,275,339.82/5,728.68
  6. Step 6: Final answer
    x = 4,935.75

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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.