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Finding the Fourth Proportional to 4,116.76, 6,175.91 and 1,651.77

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Solution

The fourth proportional to 4,116.76, 6,175.91 and 1,651.77 is: 2,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.76 : 6,175.91 = 1,651.77 : x
  2. Step 2: Convert to fraction form
    4,116.76/6,175.91 = 1,651.77/x
  3. Step 3: Cross multiply
    4,116.76x = 6,175.91 × 1,651.77
  4. Step 4: Simplify right side
    4,116.76x = 10,201,169.62
  5. Step 5: Solve for x
    x = 10,201,169.62/4,116.76
  6. Step 6: Final answer
    x = 2,477.96

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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.