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Finding the Fourth Proportional to 4,054.78, 6,082.16 and 3,131.68

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Solution

The fourth proportional to 4,054.78, 6,082.16 and 3,131.68 is: 4,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.78 : 6,082.16 = 3,131.68 : x
  2. Step 2: Convert to fraction form
    4,054.78/6,082.16 = 3,131.68/x
  3. Step 3: Cross multiply
    4,054.78x = 6,082.16 × 3,131.68
  4. Step 4: Simplify right side
    4,054.78x = 19,047,378.83
  5. Step 5: Solve for x
    x = 19,047,378.83/4,054.78
  6. Step 6: Final answer
    x = 4,697.51

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