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Finding the Fourth Proportional to 3,808.69, 5,256.38 and 2,316.71

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Solution

The fourth proportional to 3,808.69, 5,256.38 and 2,316.71 is: 3,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.69 : 5,256.38 = 2,316.71 : x
  2. Step 2: Convert to fraction form
    3,808.69/5,256.38 = 2,316.71/x
  3. Step 3: Cross multiply
    3,808.69x = 5,256.38 × 2,316.71
  4. Step 4: Simplify right side
    3,808.69x = 12,177,508.11
  5. Step 5: Solve for x
    x = 12,177,508.11/3,808.69
  6. Step 6: Final answer
    x = 3,197.30

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Why These Related Problems?

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