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Finding the Fourth Proportional to 4,668.61, 7,004.97 and 2,476.80

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Solution

The fourth proportional to 4,668.61, 7,004.97 and 2,476.80 is: 3,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.61 : 7,004.97 = 2,476.80 : x
  2. Step 2: Convert to fraction form
    4,668.61/7,004.97 = 2,476.80/x
  3. Step 3: Cross multiply
    4,668.61x = 7,004.97 × 2,476.80
  4. Step 4: Simplify right side
    4,668.61x = 17,349,862.29
  5. Step 5: Solve for x
    x = 17,349,862.29/4,668.61
  6. Step 6: Final answer
    x = 3,716.28

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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.