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Finding the Fourth Proportional to 4,496.76, 6,745.77 and 1,209.96

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Solution

The fourth proportional to 4,496.76, 6,745.77 and 1,209.96 is: 1,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.76 : 6,745.77 = 1,209.96 : x
  2. Step 2: Convert to fraction form
    4,496.76/6,745.77 = 1,209.96/x
  3. Step 3: Cross multiply
    4,496.76x = 6,745.77 × 1,209.96
  4. Step 4: Simplify right side
    4,496.76x = 8,162,111.87
  5. Step 5: Solve for x
    x = 8,162,111.87/4,496.76
  6. Step 6: Final answer
    x = 1,815.11

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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.