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Finding the Fourth Proportional to 5,581.41, 7,706.93 and 3,486.21

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Solution

The fourth proportional to 5,581.41, 7,706.93 and 3,486.21 is: 4,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.41 : 7,706.93 = 3,486.21 : x
  2. Step 2: Convert to fraction form
    5,581.41/7,706.93 = 3,486.21/x
  3. Step 3: Cross multiply
    5,581.41x = 7,706.93 × 3,486.21
  4. Step 4: Simplify right side
    5,581.41x = 26,867,959.00
  5. Step 5: Solve for x
    x = 26,867,959.00/5,581.41
  6. Step 6: Final answer
    x = 4,813.83

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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.