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Finding the Fourth Proportional to 4,726.24, 7,087.92 and 2,259.76

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Solution

The fourth proportional to 4,726.24, 7,087.92 and 2,259.76 is: 3,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.24 : 7,087.92 = 2,259.76 : x
  2. Step 2: Convert to fraction form
    4,726.24/7,087.92 = 2,259.76/x
  3. Step 3: Cross multiply
    4,726.24x = 7,087.92 × 2,259.76
  4. Step 4: Simplify right side
    4,726.24x = 16,016,998.10
  5. Step 5: Solve for x
    x = 16,016,998.10/4,726.24
  6. Step 6: Final answer
    x = 3,388.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.