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Finding the Fourth Proportional to 4,130.80, 6,196.17 and 1,010.82

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Solution

The fourth proportional to 4,130.80, 6,196.17 and 1,010.82 is: 1,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.80 : 6,196.17 = 1,010.82 : x
  2. Step 2: Convert to fraction form
    4,130.80/6,196.17 = 1,010.82/x
  3. Step 3: Cross multiply
    4,130.80x = 6,196.17 × 1,010.82
  4. Step 4: Simplify right side
    4,130.80x = 6,263,212.56
  5. Step 5: Solve for x
    x = 6,263,212.56/4,130.80
  6. Step 6: Final answer
    x = 1,516.22

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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.