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Finding the Fourth Proportional to 4,588.38, 6,882.56 and 1,813.62

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Solution

The fourth proportional to 4,588.38, 6,882.56 and 1,813.62 is: 2,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.38 : 6,882.56 = 1,813.62 : x
  2. Step 2: Convert to fraction form
    4,588.38/6,882.56 = 1,813.62/x
  3. Step 3: Cross multiply
    4,588.38x = 6,882.56 × 1,813.62
  4. Step 4: Simplify right side
    4,588.38x = 12,482,339.40
  5. Step 5: Solve for x
    x = 12,482,339.40/4,588.38
  6. Step 6: Final answer
    x = 2,720.42

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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.