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Finding the Fourth Proportional to 5,784.69, 8,665.46 and 2,660.42

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Solution

The fourth proportional to 5,784.69, 8,665.46 and 2,660.42 is: 3,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.69 : 8,665.46 = 2,660.42 : x
  2. Step 2: Convert to fraction form
    5,784.69/8,665.46 = 2,660.42/x
  3. Step 3: Cross multiply
    5,784.69x = 8,665.46 × 2,660.42
  4. Step 4: Simplify right side
    5,784.69x = 23,053,706.46
  5. Step 5: Solve for x
    x = 23,053,706.46/5,784.69
  6. Step 6: Final answer
    x = 3,985.30

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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.