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Finding the Fourth Proportional to 3,450.75, 5,176.35 and 985.77

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Solution

The fourth proportional to 3,450.75, 5,176.35 and 985.77 is: 1,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.75 : 5,176.35 = 985.77 : x
  2. Step 2: Convert to fraction form
    3,450.75/5,176.35 = 985.77/x
  3. Step 3: Cross multiply
    3,450.75x = 5,176.35 × 985.77
  4. Step 4: Simplify right side
    3,450.75x = 5,102,690.54
  5. Step 5: Solve for x
    x = 5,102,690.54/3,450.75
  6. Step 6: Final answer
    x = 1,478.72

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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.