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Finding the Fourth Proportional to 3,435.12, 5,152.80 and 1,243.44

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Solution

The fourth proportional to 3,435.12, 5,152.80 and 1,243.44 is: 1,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.12 : 5,152.80 = 1,243.44 : x
  2. Step 2: Convert to fraction form
    3,435.12/5,152.80 = 1,243.44/x
  3. Step 3: Cross multiply
    3,435.12x = 5,152.80 × 1,243.44
  4. Step 4: Simplify right side
    3,435.12x = 6,407,197.63
  5. Step 5: Solve for x
    x = 6,407,197.63/3,435.12
  6. Step 6: Final answer
    x = 1,865.20

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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.