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Finding the Fourth Proportional to 6,359.08, 9,537.42 and 1,741

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Solution

The fourth proportional to 6,359.08, 9,537.42 and 1,741 is: 2,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.08 : 9,537.42 = 1,741 : x
  2. Step 2: Convert to fraction form
    6,359.08/9,537.42 = 1,741/x
  3. Step 3: Cross multiply
    6,359.08x = 9,537.42 × 1,741
  4. Step 4: Simplify right side
    6,359.08x = 16,604,648.22
  5. Step 5: Solve for x
    x = 16,604,648.22/6,359.08
  6. Step 6: Final answer
    x = 2,611.17

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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.