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Finding the Fourth Proportional to 4,668.57, 7,002.94 and 1,381.66

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Solution

The fourth proportional to 4,668.57, 7,002.94 and 1,381.66 is: 2,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.57 : 7,002.94 = 1,381.66 : x
  2. Step 2: Convert to fraction form
    4,668.57/7,002.94 = 1,381.66/x
  3. Step 3: Cross multiply
    4,668.57x = 7,002.94 × 1,381.66
  4. Step 4: Simplify right side
    4,668.57x = 9,675,682.08
  5. Step 5: Solve for x
    x = 9,675,682.08/4,668.57
  6. Step 6: Final answer
    x = 2,072.52

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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.