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Finding the Fourth Proportional to 4,155.94, 5,735.17 and 2,267.50

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Solution

The fourth proportional to 4,155.94, 5,735.17 and 2,267.50 is: 3,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.94 : 5,735.17 = 2,267.50 : x
  2. Step 2: Convert to fraction form
    4,155.94/5,735.17 = 2,267.50/x
  3. Step 3: Cross multiply
    4,155.94x = 5,735.17 × 2,267.50
  4. Step 4: Simplify right side
    4,155.94x = 13,004,457.96
  5. Step 5: Solve for x
    x = 13,004,457.96/4,155.94
  6. Step 6: Final answer
    x = 3,129.13

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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.