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Finding the Fourth Proportional to 4,123.84, 5,690.88 and 2,260.84

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Solution

The fourth proportional to 4,123.84, 5,690.88 and 2,260.84 is: 3,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.84 : 5,690.88 = 2,260.84 : x
  2. Step 2: Convert to fraction form
    4,123.84/5,690.88 = 2,260.84/x
  3. Step 3: Cross multiply
    4,123.84x = 5,690.88 × 2,260.84
  4. Step 4: Simplify right side
    4,123.84x = 12,866,169.14
  5. Step 5: Solve for x
    x = 12,866,169.14/4,123.84
  6. Step 6: Final answer
    x = 3,119.95

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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.