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Finding the Fourth Proportional to 4,285, 6,421.92 and 2,203.24

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Solution

The fourth proportional to 4,285, 6,421.92 and 2,203.24 is: 3,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285 : 6,421.92 = 2,203.24 : x
  2. Step 2: Convert to fraction form
    4,285/6,421.92 = 2,203.24/x
  3. Step 3: Cross multiply
    4,285x = 6,421.92 × 2,203.24
  4. Step 4: Simplify right side
    4,285x = 14,149,031.02
  5. Step 5: Solve for x
    x = 14,149,031.02/4,285
  6. Step 6: Final answer
    x = 3,301.99

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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.