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Finding the Fourth Proportional to 4,610.09, 6,914.72 and 1,836.02

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Solution

The fourth proportional to 4,610.09, 6,914.72 and 1,836.02 is: 2,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.09 : 6,914.72 = 1,836.02 : x
  2. Step 2: Convert to fraction form
    4,610.09/6,914.72 = 1,836.02/x
  3. Step 3: Cross multiply
    4,610.09x = 6,914.72 × 1,836.02
  4. Step 4: Simplify right side
    4,610.09x = 12,695,536.87
  5. Step 5: Solve for x
    x = 12,695,536.87/4,610.09
  6. Step 6: Final answer
    x = 2,753.86

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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.