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Finding the Fourth Proportional to 4,611.40, 6,911.92 and 1,837.33

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Solution

The fourth proportional to 4,611.40, 6,911.92 and 1,837.33 is: 2,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.40 : 6,911.92 = 1,837.33 : x
  2. Step 2: Convert to fraction form
    4,611.40/6,911.92 = 1,837.33/x
  3. Step 3: Cross multiply
    4,611.40x = 6,911.92 × 1,837.33
  4. Step 4: Simplify right side
    4,611.40x = 12,699,477.97
  5. Step 5: Solve for x
    x = 12,699,477.97/4,611.40
  6. Step 6: Final answer
    x = 2,753.93

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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.