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Finding the Fourth Proportional to 5,784.52, 8,678.46 and 2,086.66

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Solution

The fourth proportional to 5,784.52, 8,678.46 and 2,086.66 is: 3,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.52 : 8,678.46 = 2,086.66 : x
  2. Step 2: Convert to fraction form
    5,784.52/8,678.46 = 2,086.66/x
  3. Step 3: Cross multiply
    5,784.52x = 8,678.46 × 2,086.66
  4. Step 4: Simplify right side
    5,784.52x = 18,108,995.34
  5. Step 5: Solve for x
    x = 18,108,995.34/5,784.52
  6. Step 6: Final answer
    x = 3,130.60

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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.