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Finding the Fourth Proportional to 3,471.93, 5,204.72 and 1,391.58

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Solution

The fourth proportional to 3,471.93, 5,204.72 and 1,391.58 is: 2,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.93 : 5,204.72 = 1,391.58 : x
  2. Step 2: Convert to fraction form
    3,471.93/5,204.72 = 1,391.58/x
  3. Step 3: Cross multiply
    3,471.93x = 5,204.72 × 1,391.58
  4. Step 4: Simplify right side
    3,471.93x = 7,242,787.74
  5. Step 5: Solve for x
    x = 7,242,787.74/3,471.93
  6. Step 6: Final answer
    x = 2,086.10

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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.