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Finding the Fourth Proportional to 3,813.66, 5,718.67 and 2,232.84

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Solution

The fourth proportional to 3,813.66, 5,718.67 and 2,232.84 is: 3,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.66 : 5,718.67 = 2,232.84 : x
  2. Step 2: Convert to fraction form
    3,813.66/5,718.67 = 2,232.84/x
  3. Step 3: Cross multiply
    3,813.66x = 5,718.67 × 2,232.84
  4. Step 4: Simplify right side
    3,813.66x = 12,768,875.12
  5. Step 5: Solve for x
    x = 12,768,875.12/3,813.66
  6. Step 6: Final answer
    x = 3,348.19

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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.