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Finding the Fourth Proportional to 5,726.30, 8,588.84 and 1,829.79

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Solution

The fourth proportional to 5,726.30, 8,588.84 and 1,829.79 is: 2,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.30 : 8,588.84 = 1,829.79 : x
  2. Step 2: Convert to fraction form
    5,726.30/8,588.84 = 1,829.79/x
  3. Step 3: Cross multiply
    5,726.30x = 8,588.84 × 1,829.79
  4. Step 4: Simplify right side
    5,726.30x = 15,715,764.39
  5. Step 5: Solve for x
    x = 15,715,764.39/5,726.30
  6. Step 6: Final answer
    x = 2,744.49

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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.