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Finding the Fourth Proportional to 4,123.36, 5,690.02 and 2,260.36

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Solution

The fourth proportional to 4,123.36, 5,690.02 and 2,260.36 is: 3,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.36 : 5,690.02 = 2,260.36 : x
  2. Step 2: Convert to fraction form
    4,123.36/5,690.02 = 2,260.36/x
  3. Step 3: Cross multiply
    4,123.36x = 5,690.02 × 2,260.36
  4. Step 4: Simplify right side
    4,123.36x = 12,861,493.61
  5. Step 5: Solve for x
    x = 12,861,493.61/4,123.36
  6. Step 6: Final answer
    x = 3,119.18

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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.