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Finding the Fourth Proportional to 4,650.26, 6,415.50 and 2,971.23

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Solution

The fourth proportional to 4,650.26, 6,415.50 and 2,971.23 is: 4,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.26 : 6,415.50 = 2,971.23 : x
  2. Step 2: Convert to fraction form
    4,650.26/6,415.50 = 2,971.23/x
  3. Step 3: Cross multiply
    4,650.26x = 6,415.50 × 2,971.23
  4. Step 4: Simplify right side
    4,650.26x = 19,061,926.07
  5. Step 5: Solve for x
    x = 19,061,926.07/4,650.26
  6. Step 6: Final answer
    x = 4,099.11

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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.