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Finding the Fourth Proportional to 4,892.38, 7,341.88 and 1,814.38

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Solution

The fourth proportional to 4,892.38, 7,341.88 and 1,814.38 is: 2,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.38 : 7,341.88 = 1,814.38 : x
  2. Step 2: Convert to fraction form
    4,892.38/7,341.88 = 1,814.38/x
  3. Step 3: Cross multiply
    4,892.38x = 7,341.88 × 1,814.38
  4. Step 4: Simplify right side
    4,892.38x = 13,320,960.23
  5. Step 5: Solve for x
    x = 13,320,960.23/4,892.38
  6. Step 6: Final answer
    x = 2,722.80

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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.