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Finding the Fourth Proportional to 3,716.91, 5,128.23 and 2,123.50

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Solution

The fourth proportional to 3,716.91, 5,128.23 and 2,123.50 is: 2,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.91 : 5,128.23 = 2,123.50 : x
  2. Step 2: Convert to fraction form
    3,716.91/5,128.23 = 2,123.50/x
  3. Step 3: Cross multiply
    3,716.91x = 5,128.23 × 2,123.50
  4. Step 4: Simplify right side
    3,716.91x = 10,889,796.41
  5. Step 5: Solve for x
    x = 10,889,796.41/3,716.91
  6. Step 6: Final answer
    x = 2,929.80

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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.