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Finding the Fourth Proportional to 5,754.96, 8,633.28 and 1,859.76

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Solution

The fourth proportional to 5,754.96, 8,633.28 and 1,859.76 is: 2,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.96 : 8,633.28 = 1,859.76 : x
  2. Step 2: Convert to fraction form
    5,754.96/8,633.28 = 1,859.76/x
  3. Step 3: Cross multiply
    5,754.96x = 8,633.28 × 1,859.76
  4. Step 4: Simplify right side
    5,754.96x = 16,055,828.81
  5. Step 5: Solve for x
    x = 16,055,828.81/5,754.96
  6. Step 6: Final answer
    x = 2,789.91

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Why These Related Problems?

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