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Finding the Fourth Proportional to 3,813.29, 5,709.15 and 2,423.18

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Solution

The fourth proportional to 3,813.29, 5,709.15 and 2,423.18 is: 3,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.29 : 5,709.15 = 2,423.18 : x
  2. Step 2: Convert to fraction form
    3,813.29/5,709.15 = 2,423.18/x
  3. Step 3: Cross multiply
    3,813.29x = 5,709.15 × 2,423.18
  4. Step 4: Simplify right side
    3,813.29x = 13,834,298.10
  5. Step 5: Solve for x
    x = 13,834,298.10/3,813.29
  6. Step 6: Final answer
    x = 3,627.92

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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.