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Finding the Fourth Proportional to 3,813.42, 5,719.79 and 1,348.12

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Solution

The fourth proportional to 3,813.42, 5,719.79 and 1,348.12 is: 2,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.42 : 5,719.79 = 1,348.12 : x
  2. Step 2: Convert to fraction form
    3,813.42/5,719.79 = 1,348.12/x
  3. Step 3: Cross multiply
    3,813.42x = 5,719.79 × 1,348.12
  4. Step 4: Simplify right side
    3,813.42x = 7,710,973.81
  5. Step 5: Solve for x
    x = 7,710,973.81/3,813.42
  6. Step 6: Final answer
    x = 2,022.06

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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.