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Finding the Fourth Proportional to 4,668.48, 7,004.08 and 1,381.65

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Solution

The fourth proportional to 4,668.48, 7,004.08 and 1,381.65 is: 2,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.48 : 7,004.08 = 1,381.65 : x
  2. Step 2: Convert to fraction form
    4,668.48/7,004.08 = 1,381.65/x
  3. Step 3: Cross multiply
    4,668.48x = 7,004.08 × 1,381.65
  4. Step 4: Simplify right side
    4,668.48x = 9,677,180.22
  5. Step 5: Solve for x
    x = 9,677,180.22/4,668.48
  6. Step 6: Final answer
    x = 2,072.88

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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.