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Finding the Fourth Proportional to 3,482.94, 5,224.40 and 1,261.24

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Solution

The fourth proportional to 3,482.94, 5,224.40 and 1,261.24 is: 1,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.94 : 5,224.40 = 1,261.24 : x
  2. Step 2: Convert to fraction form
    3,482.94/5,224.40 = 1,261.24/x
  3. Step 3: Cross multiply
    3,482.94x = 5,224.40 × 1,261.24
  4. Step 4: Simplify right side
    3,482.94x = 6,589,222.26
  5. Step 5: Solve for x
    x = 6,589,222.26/3,482.94
  6. Step 6: Final answer
    x = 1,891.86

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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.