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Finding the Fourth Proportional to 3,451.09, 5,176.28 and 985.75

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Solution

The fourth proportional to 3,451.09, 5,176.28 and 985.75 is: 1,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.09 : 5,176.28 = 985.75 : x
  2. Step 2: Convert to fraction form
    3,451.09/5,176.28 = 985.75/x
  3. Step 3: Cross multiply
    3,451.09x = 5,176.28 × 985.75
  4. Step 4: Simplify right side
    3,451.09x = 5,102,513.08
  5. Step 5: Solve for x
    x = 5,102,513.08/3,451.09
  6. Step 6: Final answer
    x = 1,478.52

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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.