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Finding the Fourth Proportional to 4,176.25, 5,763.24 and 2,313.25

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Solution

The fourth proportional to 4,176.25, 5,763.24 and 2,313.25 is: 3,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.25 : 5,763.24 = 2,313.25 : x
  2. Step 2: Convert to fraction form
    4,176.25/5,763.24 = 2,313.25/x
  3. Step 3: Cross multiply
    4,176.25x = 5,763.24 × 2,313.25
  4. Step 4: Simplify right side
    4,176.25x = 13,331,809.15
  5. Step 5: Solve for x
    x = 13,331,809.15/4,176.25
  6. Step 6: Final answer
    x = 3,192.29

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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.