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Finding the Fourth Proportional to 5,649.76, 8,471.20 and 2,529.19

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Solution

The fourth proportional to 5,649.76, 8,471.20 and 2,529.19 is: 3,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.76 : 8,471.20 = 2,529.19 : x
  2. Step 2: Convert to fraction form
    5,649.76/8,471.20 = 2,529.19/x
  3. Step 3: Cross multiply
    5,649.76x = 8,471.20 × 2,529.19
  4. Step 4: Simplify right side
    5,649.76x = 21,425,274.33
  5. Step 5: Solve for x
    x = 21,425,274.33/5,649.76
  6. Step 6: Final answer
    x = 3,792.25

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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.