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Finding the Fourth Proportional to 5,726.94, 8,594.25 and 2,029.15

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Solution

The fourth proportional to 5,726.94, 8,594.25 and 2,029.15 is: 3,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.94 : 8,594.25 = 2,029.15 : x
  2. Step 2: Convert to fraction form
    5,726.94/8,594.25 = 2,029.15/x
  3. Step 3: Cross multiply
    5,726.94x = 8,594.25 × 2,029.15
  4. Step 4: Simplify right side
    5,726.94x = 17,439,022.39
  5. Step 5: Solve for x
    x = 17,439,022.39/5,726.94
  6. Step 6: Final answer
    x = 3,045.09

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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.