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Finding the Fourth Proportional to 3,476.98, 5,212.87 and 1,285.30

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Solution

The fourth proportional to 3,476.98, 5,212.87 and 1,285.30 is: 1,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.98 : 5,212.87 = 1,285.30 : x
  2. Step 2: Convert to fraction form
    3,476.98/5,212.87 = 1,285.30/x
  3. Step 3: Cross multiply
    3,476.98x = 5,212.87 × 1,285.30
  4. Step 4: Simplify right side
    3,476.98x = 6,700,101.81
  5. Step 5: Solve for x
    x = 6,700,101.81/3,476.98
  6. Step 6: Final answer
    x = 1,926.99

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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.