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Finding the Fourth Proportional to 3,224.16, 4,837.56 and 1,275.84

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Solution

The fourth proportional to 3,224.16, 4,837.56 and 1,275.84 is: 1,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.16 : 4,837.56 = 1,275.84 : x
  2. Step 2: Convert to fraction form
    3,224.16/4,837.56 = 1,275.84/x
  3. Step 3: Cross multiply
    3,224.16x = 4,837.56 × 1,275.84
  4. Step 4: Simplify right side
    3,224.16x = 6,171,952.55
  5. Step 5: Solve for x
    x = 6,171,952.55/3,224.16
  6. Step 6: Final answer
    x = 1,914.28

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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.