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Finding the Fourth Proportional to 3,896.36, 5,846.84 and 1,557.46

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Solution

The fourth proportional to 3,896.36, 5,846.84 and 1,557.46 is: 2,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.36 : 5,846.84 = 1,557.46 : x
  2. Step 2: Convert to fraction form
    3,896.36/5,846.84 = 1,557.46/x
  3. Step 3: Cross multiply
    3,896.36x = 5,846.84 × 1,557.46
  4. Step 4: Simplify right side
    3,896.36x = 9,106,219.43
  5. Step 5: Solve for x
    x = 9,106,219.43/3,896.36
  6. Step 6: Final answer
    x = 2,337.11

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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.