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Finding the Fourth Proportional to 5,651.30, 8,471.10 and 2,532.80

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Solution

The fourth proportional to 5,651.30, 8,471.10 and 2,532.80 is: 3,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.30 : 8,471.10 = 2,532.80 : x
  2. Step 2: Convert to fraction form
    5,651.30/8,471.10 = 2,532.80/x
  3. Step 3: Cross multiply
    5,651.30x = 8,471.10 × 2,532.80
  4. Step 4: Simplify right side
    5,651.30x = 21,455,602.08
  5. Step 5: Solve for x
    x = 21,455,602.08/5,651.30
  6. Step 6: Final answer
    x = 3,796.58

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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.