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Finding the Fourth Proportional to 5,784.85, 8,678.64 and 2,497.97

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Solution

The fourth proportional to 5,784.85, 8,678.64 and 2,497.97 is: 3,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.85 : 8,678.64 = 2,497.97 : x
  2. Step 2: Convert to fraction form
    5,784.85/8,678.64 = 2,497.97/x
  3. Step 3: Cross multiply
    5,784.85x = 8,678.64 × 2,497.97
  4. Step 4: Simplify right side
    5,784.85x = 21,678,982.36
  5. Step 5: Solve for x
    x = 21,678,982.36/5,784.85
  6. Step 6: Final answer
    x = 3,747.54

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Why These Related Problems?

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