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Finding the Fourth Proportional to 5,664.96, 8,499.31 and 3,031.88

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Solution

The fourth proportional to 5,664.96, 8,499.31 and 3,031.88 is: 4,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.96 : 8,499.31 = 3,031.88 : x
  2. Step 2: Convert to fraction form
    5,664.96/8,499.31 = 3,031.88/x
  3. Step 3: Cross multiply
    5,664.96x = 8,499.31 × 3,031.88
  4. Step 4: Simplify right side
    5,664.96x = 25,768,865.23
  5. Step 5: Solve for x
    x = 25,768,865.23/5,664.96
  6. Step 6: Final answer
    x = 4,548.82

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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.