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Finding the Fourth Proportional to 4,155.91, 5,735.07 and 2,267.53

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Solution

The fourth proportional to 4,155.91, 5,735.07 and 2,267.53 is: 3,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.91 : 5,735.07 = 2,267.53 : x
  2. Step 2: Convert to fraction form
    4,155.91/5,735.07 = 2,267.53/x
  3. Step 3: Cross multiply
    4,155.91x = 5,735.07 × 2,267.53
  4. Step 4: Simplify right side
    4,155.91x = 13,004,428.94
  5. Step 5: Solve for x
    x = 13,004,428.94/4,155.91
  6. Step 6: Final answer
    x = 3,129.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.