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Finding the Fourth Proportional to 3,814.47, 5,266.35 and 2,491.89

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Solution

The fourth proportional to 3,814.47, 5,266.35 and 2,491.89 is: 3,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.47 : 5,266.35 = 2,491.89 : x
  2. Step 2: Convert to fraction form
    3,814.47/5,266.35 = 2,491.89/x
  3. Step 3: Cross multiply
    3,814.47x = 5,266.35 × 2,491.89
  4. Step 4: Simplify right side
    3,814.47x = 13,123,164.90
  5. Step 5: Solve for x
    x = 13,123,164.90/3,814.47
  6. Step 6: Final answer
    x = 3,440.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.