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Finding the Fourth Proportional to 3,713.00, 5,123.54 and 2,119.50

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Solution

The fourth proportional to 3,713.00, 5,123.54 and 2,119.50 is: 2,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.00 : 5,123.54 = 2,119.50 : x
  2. Step 2: Convert to fraction form
    3,713.00/5,123.54 = 2,119.50/x
  3. Step 3: Cross multiply
    3,713.00x = 5,123.54 × 2,119.50
  4. Step 4: Simplify right side
    3,713.00x = 10,859,348.33
  5. Step 5: Solve for x
    x = 10,859,348.33/3,713.00
  6. Step 6: Final answer
    x = 2,924.68

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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.