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Finding the Fourth Proportional to 3,477.30, 5,215.95 and 3,234.30

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Solution

The fourth proportional to 3,477.30, 5,215.95 and 3,234.30 is: 4,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.30 : 5,215.95 = 3,234.30 : x
  2. Step 2: Convert to fraction form
    3,477.30/5,215.95 = 3,234.30/x
  3. Step 3: Cross multiply
    3,477.30x = 5,215.95 × 3,234.30
  4. Step 4: Simplify right side
    3,477.30x = 16,869,947.09
  5. Step 5: Solve for x
    x = 16,869,947.09/3,477.30
  6. Step 6: Final answer
    x = 4,851.45

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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.