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Finding the Fourth Proportional to 3,435.27, 5,152.41 and 1,461.68

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Solution

The fourth proportional to 3,435.27, 5,152.41 and 1,461.68 is: 2,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.27 : 5,152.41 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    3,435.27/5,152.41 = 1,461.68/x
  3. Step 3: Cross multiply
    3,435.27x = 5,152.41 × 1,461.68
  4. Step 4: Simplify right side
    3,435.27x = 7,531,148.89
  5. Step 5: Solve for x
    x = 7,531,148.89/3,435.27
  6. Step 6: Final answer
    x = 2,192.30

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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.