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Finding the Fourth Proportional to 5,784.74, 8,676.30 and 2,086.46

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Solution

The fourth proportional to 5,784.74, 8,676.30 and 2,086.46 is: 3,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.74 : 8,676.30 = 2,086.46 : x
  2. Step 2: Convert to fraction form
    5,784.74/8,676.30 = 2,086.46/x
  3. Step 3: Cross multiply
    5,784.74x = 8,676.30 × 2,086.46
  4. Step 4: Simplify right side
    5,784.74x = 18,102,752.90
  5. Step 5: Solve for x
    x = 18,102,752.90/5,784.74
  6. Step 6: Final answer
    x = 3,129.40

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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.