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Finding the Fourth Proportional to 5,461.32, 8,187.66 and 3,405

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Solution

The fourth proportional to 5,461.32, 8,187.66 and 3,405 is: 5,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.32 : 8,187.66 = 3,405 : x
  2. Step 2: Convert to fraction form
    5,461.32/8,187.66 = 3,405/x
  3. Step 3: Cross multiply
    5,461.32x = 8,187.66 × 3,405
  4. Step 4: Simplify right side
    5,461.32x = 27,878,982.30
  5. Step 5: Solve for x
    x = 27,878,982.30/5,461.32
  6. Step 6: Final answer
    x = 5,104.81

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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.