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Finding the Fourth Proportional to 5,733.25, 8,601.32 and 1,629.25

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Solution

The fourth proportional to 5,733.25, 8,601.32 and 1,629.25 is: 2,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.25 : 8,601.32 = 1,629.25 : x
  2. Step 2: Convert to fraction form
    5,733.25/8,601.32 = 1,629.25/x
  3. Step 3: Cross multiply
    5,733.25x = 8,601.32 × 1,629.25
  4. Step 4: Simplify right side
    5,733.25x = 14,013,700.61
  5. Step 5: Solve for x
    x = 14,013,700.61/5,733.25
  6. Step 6: Final answer
    x = 2,444.29

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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.