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Finding the Fourth Proportional to 5,674.57, 8,511.91 and 1,726.47

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Solution

The fourth proportional to 5,674.57, 8,511.91 and 1,726.47 is: 2,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.57 : 8,511.91 = 1,726.47 : x
  2. Step 2: Convert to fraction form
    5,674.57/8,511.91 = 1,726.47/x
  3. Step 3: Cross multiply
    5,674.57x = 8,511.91 × 1,726.47
  4. Step 4: Simplify right side
    5,674.57x = 14,695,557.26
  5. Step 5: Solve for x
    x = 14,695,557.26/5,674.57
  6. Step 6: Final answer
    x = 2,589.72

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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.