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Finding the Fourth Proportional to 3,514.69, 4,854.36 and 2,333.71

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Solution

The fourth proportional to 3,514.69, 4,854.36 and 2,333.71 is: 3,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.69 : 4,854.36 = 2,333.71 : x
  2. Step 2: Convert to fraction form
    3,514.69/4,854.36 = 2,333.71/x
  3. Step 3: Cross multiply
    3,514.69x = 4,854.36 × 2,333.71
  4. Step 4: Simplify right side
    3,514.69x = 11,328,668.48
  5. Step 5: Solve for x
    x = 11,328,668.48/3,514.69
  6. Step 6: Final answer
    x = 3,223.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.