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Finding the Fourth Proportional to 3,435.53, 5,152.83 and 1,461.41

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Solution

The fourth proportional to 3,435.53, 5,152.83 and 1,461.41 is: 2,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.53 : 5,152.83 = 1,461.41 : x
  2. Step 2: Convert to fraction form
    3,435.53/5,152.83 = 1,461.41/x
  3. Step 3: Cross multiply
    3,435.53x = 5,152.83 × 1,461.41
  4. Step 4: Simplify right side
    3,435.53x = 7,530,397.29
  5. Step 5: Solve for x
    x = 7,530,397.29/3,435.53
  6. Step 6: Final answer
    x = 2,191.92

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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.