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Finding the Fourth Proportional to 4,176.51, 5,763.74 and 2,313.51

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Solution

The fourth proportional to 4,176.51, 5,763.74 and 2,313.51 is: 3,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.51 : 5,763.74 = 2,313.51 : x
  2. Step 2: Convert to fraction form
    4,176.51/5,763.74 = 2,313.51/x
  3. Step 3: Cross multiply
    4,176.51x = 5,763.74 × 2,313.51
  4. Step 4: Simplify right side
    4,176.51x = 13,334,458.56
  5. Step 5: Solve for x
    x = 13,334,458.56/4,176.51
  6. Step 6: Final answer
    x = 3,192.73

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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.