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Finding the Fourth Proportional to 4,116.52, 5,682.18 and 3,459.88

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Solution

The fourth proportional to 4,116.52, 5,682.18 and 3,459.88 is: 4,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.52 : 5,682.18 = 3,459.88 : x
  2. Step 2: Convert to fraction form
    4,116.52/5,682.18 = 3,459.88/x
  3. Step 3: Cross multiply
    4,116.52x = 5,682.18 × 3,459.88
  4. Step 4: Simplify right side
    4,116.52x = 19,659,660.94
  5. Step 5: Solve for x
    x = 19,659,660.94/4,116.52
  6. Step 6: Final answer
    x = 4,775.80

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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.