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Finding the Fourth Proportional to 4,123.08, 5,689.92 and 2,260.08

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Solution

The fourth proportional to 4,123.08, 5,689.92 and 2,260.08 is: 3,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.08 : 5,689.92 = 2,260.08 : x
  2. Step 2: Convert to fraction form
    4,123.08/5,689.92 = 2,260.08/x
  3. Step 3: Cross multiply
    4,123.08x = 5,689.92 × 2,260.08
  4. Step 4: Simplify right side
    4,123.08x = 12,859,674.39
  5. Step 5: Solve for x
    x = 12,859,674.39/4,123.08
  6. Step 6: Final answer
    x = 3,118.95

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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.