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Finding the Fourth Proportional to 3,901.56, 5,822.46 and 3,486.04

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Solution

The fourth proportional to 3,901.56, 5,822.46 and 3,486.04 is: 5,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.56 : 5,822.46 = 3,486.04 : x
  2. Step 2: Convert to fraction form
    3,901.56/5,822.46 = 3,486.04/x
  3. Step 3: Cross multiply
    3,901.56x = 5,822.46 × 3,486.04
  4. Step 4: Simplify right side
    3,901.56x = 20,297,328.46
  5. Step 5: Solve for x
    x = 20,297,328.46/3,901.56
  6. Step 6: Final answer
    x = 5,202.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.