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Finding the Fourth Proportional to 3,175.96, 4,379.52 and 2,511.76

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Solution

The fourth proportional to 3,175.96, 4,379.52 and 2,511.76 is: 3,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.96 : 4,379.52 = 2,511.76 : x
  2. Step 2: Convert to fraction form
    3,175.96/4,379.52 = 2,511.76/x
  3. Step 3: Cross multiply
    3,175.96x = 4,379.52 × 2,511.76
  4. Step 4: Simplify right side
    3,175.96x = 11,000,303.16
  5. Step 5: Solve for x
    x = 11,000,303.16/3,175.96
  6. Step 6: Final answer
    x = 3,463.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.