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Finding the Fourth Proportional to 4,116.17, 6,170.20 and 1,776.71

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Solution

The fourth proportional to 4,116.17, 6,170.20 and 1,776.71 is: 2,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.17 : 6,170.20 = 1,776.71 : x
  2. Step 2: Convert to fraction form
    4,116.17/6,170.20 = 1,776.71/x
  3. Step 3: Cross multiply
    4,116.17x = 6,170.20 × 1,776.71
  4. Step 4: Simplify right side
    4,116.17x = 10,962,656.04
  5. Step 5: Solve for x
    x = 10,962,656.04/4,116.17
  6. Step 6: Final answer
    x = 2,663.31

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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.