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Finding the Fourth Proportional to 4,682.18, 7,021.20 and 1,758.42

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Solution

The fourth proportional to 4,682.18, 7,021.20 and 1,758.42 is: 2,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.18 : 7,021.20 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    4,682.18/7,021.20 = 1,758.42/x
  3. Step 3: Cross multiply
    4,682.18x = 7,021.20 × 1,758.42
  4. Step 4: Simplify right side
    4,682.18x = 12,346,218.50
  5. Step 5: Solve for x
    x = 12,346,218.50/4,682.18
  6. Step 6: Final answer
    x = 2,636.86

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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.