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Finding the Fourth Proportional to 3,457.62, 5,183.19 and 1,147.50

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Solution

The fourth proportional to 3,457.62, 5,183.19 and 1,147.50 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.62 : 5,183.19 = 1,147.50 : x
  2. Step 2: Convert to fraction form
    3,457.62/5,183.19 = 1,147.50/x
  3. Step 3: Cross multiply
    3,457.62x = 5,183.19 × 1,147.50
  4. Step 4: Simplify right side
    3,457.62x = 5,947,710.53
  5. Step 5: Solve for x
    x = 5,947,710.53/3,457.62
  6. Step 6: Final answer
    x = 1,720.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.