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Finding the Fourth Proportional to 4,571.88, 6,309.20 and 2,476

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Solution

The fourth proportional to 4,571.88, 6,309.20 and 2,476 is: 3,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.88 : 6,309.20 = 2,476 : x
  2. Step 2: Convert to fraction form
    4,571.88/6,309.20 = 2,476/x
  3. Step 3: Cross multiply
    4,571.88x = 6,309.20 × 2,476
  4. Step 4: Simplify right side
    4,571.88x = 15,621,579.20
  5. Step 5: Solve for x
    x = 15,621,579.20/4,571.88
  6. Step 6: Final answer
    x = 3,416.88

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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.