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Finding the Fourth Proportional to 4,968.25, 6,857.63 and 3,312.25

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Solution

The fourth proportional to 4,968.25, 6,857.63 and 3,312.25 is: 4,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.25 : 6,857.63 = 3,312.25 : x
  2. Step 2: Convert to fraction form
    4,968.25/6,857.63 = 3,312.25/x
  3. Step 3: Cross multiply
    4,968.25x = 6,857.63 × 3,312.25
  4. Step 4: Simplify right side
    4,968.25x = 22,714,168.41
  5. Step 5: Solve for x
    x = 22,714,168.41/4,968.25
  6. Step 6: Final answer
    x = 4,571.87

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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.