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Finding the Fourth Proportional to 4,478.21, 6,712.48 and 2,835.21

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Solution

The fourth proportional to 4,478.21, 6,712.48 and 2,835.21 is: 4,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.21 : 6,712.48 = 2,835.21 : x
  2. Step 2: Convert to fraction form
    4,478.21/6,712.48 = 2,835.21/x
  3. Step 3: Cross multiply
    4,478.21x = 6,712.48 × 2,835.21
  4. Step 4: Simplify right side
    4,478.21x = 19,031,290.42
  5. Step 5: Solve for x
    x = 19,031,290.42/4,478.21
  6. Step 6: Final answer
    x = 4,249.75

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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.