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Finding the Fourth Proportional to 5,262.54, 7,886.29 and 3,864.91

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Solution

The fourth proportional to 5,262.54, 7,886.29 and 3,864.91 is: 5,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.54 : 7,886.29 = 3,864.91 : x
  2. Step 2: Convert to fraction form
    5,262.54/7,886.29 = 3,864.91/x
  3. Step 3: Cross multiply
    5,262.54x = 7,886.29 × 3,864.91
  4. Step 4: Simplify right side
    5,262.54x = 30,479,801.08
  5. Step 5: Solve for x
    x = 30,479,801.08/5,262.54
  6. Step 6: Final answer
    x = 5,791.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.