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Finding the Fourth Proportional to 4,760.67, 7,128.71 and 3,284.45

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Solution

The fourth proportional to 4,760.67, 7,128.71 and 3,284.45 is: 4,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.67 : 7,128.71 = 3,284.45 : x
  2. Step 2: Convert to fraction form
    4,760.67/7,128.71 = 3,284.45/x
  3. Step 3: Cross multiply
    4,760.67x = 7,128.71 × 3,284.45
  4. Step 4: Simplify right side
    4,760.67x = 23,413,878.54
  5. Step 5: Solve for x
    x = 23,413,878.54/4,760.67
  6. Step 6: Final answer
    x = 4,918.19

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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.