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Finding the Fourth Proportional to 3,712.70, 5,123.60 and 2,034.00

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Solution

The fourth proportional to 3,712.70, 5,123.60 and 2,034.00 is: 2,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.70 : 5,123.60 = 2,034.00 : x
  2. Step 2: Convert to fraction form
    3,712.70/5,123.60 = 2,034.00/x
  3. Step 3: Cross multiply
    3,712.70x = 5,123.60 × 2,034.00
  4. Step 4: Simplify right side
    3,712.70x = 10,421,396.11
  5. Step 5: Solve for x
    x = 10,421,396.11/3,712.70
  6. Step 6: Final answer
    x = 2,806.96

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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.