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Finding the Fourth Proportional to 4,221.69, 6,330.18 and 1,758.27

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Solution

The fourth proportional to 4,221.69, 6,330.18 and 1,758.27 is: 2,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.69 : 6,330.18 = 1,758.27 : x
  2. Step 2: Convert to fraction form
    4,221.69/6,330.18 = 1,758.27/x
  3. Step 3: Cross multiply
    4,221.69x = 6,330.18 × 1,758.27
  4. Step 4: Simplify right side
    4,221.69x = 11,130,165.59
  5. Step 5: Solve for x
    x = 11,130,165.59/4,221.69
  6. Step 6: Final answer
    x = 2,636.42

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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.