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Finding the Fourth Proportional to 4,494.27, 6,741.51 and 1,897.23

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Solution

The fourth proportional to 4,494.27, 6,741.51 and 1,897.23 is: 2,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.27 : 6,741.51 = 1,897.23 : x
  2. Step 2: Convert to fraction form
    4,494.27/6,741.51 = 1,897.23/x
  3. Step 3: Cross multiply
    4,494.27x = 6,741.51 × 1,897.23
  4. Step 4: Simplify right side
    4,494.27x = 12,790,195.02
  5. Step 5: Solve for x
    x = 12,790,195.02/4,494.27
  6. Step 6: Final answer
    x = 2,845.89

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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.