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Finding the Fourth Proportional to 4,116.76, 6,175.77 and 1,777.42

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Solution

The fourth proportional to 4,116.76, 6,175.77 and 1,777.42 is: 2,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.76 : 6,175.77 = 1,777.42 : x
  2. Step 2: Convert to fraction form
    4,116.76/6,175.77 = 1,777.42/x
  3. Step 3: Cross multiply
    4,116.76x = 6,175.77 × 1,777.42
  4. Step 4: Simplify right side
    4,116.76x = 10,976,906.23
  5. Step 5: Solve for x
    x = 10,976,906.23/4,116.76
  6. Step 6: Final answer
    x = 2,666.40

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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.