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Finding the Fourth Proportional to 4,571.84, 6,309.16 and 2,475.97

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Solution

The fourth proportional to 4,571.84, 6,309.16 and 2,475.97 is: 3,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.84 : 6,309.16 = 2,475.97 : x
  2. Step 2: Convert to fraction form
    4,571.84/6,309.16 = 2,475.97/x
  3. Step 3: Cross multiply
    4,571.84x = 6,309.16 × 2,475.97
  4. Step 4: Simplify right side
    4,571.84x = 15,621,268.92
  5. Step 5: Solve for x
    x = 15,621,268.92/4,571.84
  6. Step 6: Final answer
    x = 3,416.84

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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.