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Finding the Fourth Proportional to 3,471.84, 5,208.29 and 1,131.30

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Solution

The fourth proportional to 3,471.84, 5,208.29 and 1,131.30 is: 1,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.84 : 5,208.29 = 1,131.30 : x
  2. Step 2: Convert to fraction form
    3,471.84/5,208.29 = 1,131.30/x
  3. Step 3: Cross multiply
    3,471.84x = 5,208.29 × 1,131.30
  4. Step 4: Simplify right side
    3,471.84x = 5,892,115.26
  5. Step 5: Solve for x
    x = 5,892,115.26/3,471.84
  6. Step 6: Final answer
    x = 1,697.12

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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.