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Finding the Fourth Proportional to 3,647.75, 5,474.27 and 1,457.10

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Solution

The fourth proportional to 3,647.75, 5,474.27 and 1,457.10 is: 2,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.75 : 5,474.27 = 1,457.10 : x
  2. Step 2: Convert to fraction form
    3,647.75/5,474.27 = 1,457.10/x
  3. Step 3: Cross multiply
    3,647.75x = 5,474.27 × 1,457.10
  4. Step 4: Simplify right side
    3,647.75x = 7,976,551.53
  5. Step 5: Solve for x
    x = 7,976,551.53/3,647.75
  6. Step 6: Final answer
    x = 2,186.71

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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.