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Finding the Fourth Proportional to 4,741.31, 7,111.97 and 4,611.71

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Solution

The fourth proportional to 4,741.31, 7,111.97 and 4,611.71 is: 6,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.31 : 7,111.97 = 4,611.71 : x
  2. Step 2: Convert to fraction form
    4,741.31/7,111.97 = 4,611.71/x
  3. Step 3: Cross multiply
    4,741.31x = 7,111.97 × 4,611.71
  4. Step 4: Simplify right side
    4,741.31x = 32,798,343.17
  5. Step 5: Solve for x
    x = 32,798,343.17/4,741.31
  6. Step 6: Final answer
    x = 6,917.57

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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.