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Finding the Fourth Proportional to 3,808.53, 5,256.38 and 2,316.92

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Solution

The fourth proportional to 3,808.53, 5,256.38 and 2,316.92 is: 3,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.53 : 5,256.38 = 2,316.92 : x
  2. Step 2: Convert to fraction form
    3,808.53/5,256.38 = 2,316.92/x
  3. Step 3: Cross multiply
    3,808.53x = 5,256.38 × 2,316.92
  4. Step 4: Simplify right side
    3,808.53x = 12,178,574.08
  5. Step 5: Solve for x
    x = 12,178,574.08/3,808.53
  6. Step 6: Final answer
    x = 3,197.71

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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.