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Finding the Fourth Proportional to 3,652.10, 5,474.55 and 1,457.90

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Solution

The fourth proportional to 3,652.10, 5,474.55 and 1,457.90 is: 2,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.10 : 5,474.55 = 1,457.90 : x
  2. Step 2: Convert to fraction form
    3,652.10/5,474.55 = 1,457.90/x
  3. Step 3: Cross multiply
    3,652.10x = 5,474.55 × 1,457.90
  4. Step 4: Simplify right side
    3,652.10x = 7,981,346.45
  5. Step 5: Solve for x
    x = 7,981,346.45/3,652.10
  6. Step 6: Final answer
    x = 2,185.41

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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.