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Finding the Fourth Proportional to 4,885.46, 6,741.94 and 2,897

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Solution

The fourth proportional to 4,885.46, 6,741.94 and 2,897 is: 3,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.46 : 6,741.94 = 2,897 : x
  2. Step 2: Convert to fraction form
    4,885.46/6,741.94 = 2,897/x
  3. Step 3: Cross multiply
    4,885.46x = 6,741.94 × 2,897
  4. Step 4: Simplify right side
    4,885.46x = 19,531,400.18
  5. Step 5: Solve for x
    x = 19,531,400.18/4,885.46
  6. Step 6: Final answer
    x = 3,997.86

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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.