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Finding the Fourth Proportional to 3,471.56, 5,204.25 and 1,130.15

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Solution

The fourth proportional to 3,471.56, 5,204.25 and 1,130.15 is: 1,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.56 : 5,204.25 = 1,130.15 : x
  2. Step 2: Convert to fraction form
    3,471.56/5,204.25 = 1,130.15/x
  3. Step 3: Cross multiply
    3,471.56x = 5,204.25 × 1,130.15
  4. Step 4: Simplify right side
    3,471.56x = 5,881,596.15
  5. Step 5: Solve for x
    x = 5,881,596.15/3,471.56
  6. Step 6: Final answer
    x = 1,694.22

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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.