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Finding the Fourth Proportional to 5,286.52, 7,929.71 and 1,588.60

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Solution

The fourth proportional to 5,286.52, 7,929.71 and 1,588.60 is: 2,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.52 : 7,929.71 = 1,588.60 : x
  2. Step 2: Convert to fraction form
    5,286.52/7,929.71 = 1,588.60/x
  3. Step 3: Cross multiply
    5,286.52x = 7,929.71 × 1,588.60
  4. Step 4: Simplify right side
    5,286.52x = 12,597,137.31
  5. Step 5: Solve for x
    x = 12,597,137.31/5,286.52
  6. Step 6: Final answer
    x = 2,382.88

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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.