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Finding the Fourth Proportional to 3,814.59, 5,720.56 and 1,813.04

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Solution

The fourth proportional to 3,814.59, 5,720.56 and 1,813.04 is: 2,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.59 : 5,720.56 = 1,813.04 : x
  2. Step 2: Convert to fraction form
    3,814.59/5,720.56 = 1,813.04/x
  3. Step 3: Cross multiply
    3,814.59x = 5,720.56 × 1,813.04
  4. Step 4: Simplify right side
    3,814.59x = 10,371,604.10
  5. Step 5: Solve for x
    x = 10,371,604.10/3,814.59
  6. Step 6: Final answer
    x = 2,718.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.