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Finding the Fourth Proportional to 4,571.68, 6,852 and 2,103.12

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Solution

The fourth proportional to 4,571.68, 6,852 and 2,103.12 is: 3,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.68 : 6,852 = 2,103.12 : x
  2. Step 2: Convert to fraction form
    4,571.68/6,852 = 2,103.12/x
  3. Step 3: Cross multiply
    4,571.68x = 6,852 × 2,103.12
  4. Step 4: Simplify right side
    4,571.68x = 14,410,578.24
  5. Step 5: Solve for x
    x = 14,410,578.24/4,571.68
  6. Step 6: Final answer
    x = 3,152.14

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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.