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Finding the Fourth Proportional to 3,712.95, 5,123.97 and 2,296.89

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Solution

The fourth proportional to 3,712.95, 5,123.97 and 2,296.89 is: 3,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.95 : 5,123.97 = 2,296.89 : x
  2. Step 2: Convert to fraction form
    3,712.95/5,123.97 = 2,296.89/x
  3. Step 3: Cross multiply
    3,712.95x = 5,123.97 × 2,296.89
  4. Step 4: Simplify right side
    3,712.95x = 11,769,195.45
  5. Step 5: Solve for x
    x = 11,769,195.45/3,712.95
  6. Step 6: Final answer
    x = 3,169.77

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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.