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Finding the Fourth Proportional to 5,407.27, 7,461.87 and 3,017.31

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Solution

The fourth proportional to 5,407.27, 7,461.87 and 3,017.31 is: 4,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.27 : 7,461.87 = 3,017.31 : x
  2. Step 2: Convert to fraction form
    5,407.27/7,461.87 = 3,017.31/x
  3. Step 3: Cross multiply
    5,407.27x = 7,461.87 × 3,017.31
  4. Step 4: Simplify right side
    5,407.27x = 22,514,774.97
  5. Step 5: Solve for x
    x = 22,514,774.97/5,407.27
  6. Step 6: Final answer
    x = 4,163.80

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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.