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Finding the Fourth Proportional to 5,583.33, 7,705.22 and 3,344.76

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Solution

The fourth proportional to 5,583.33, 7,705.22 and 3,344.76 is: 4,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.33 : 7,705.22 = 3,344.76 : x
  2. Step 2: Convert to fraction form
    5,583.33/7,705.22 = 3,344.76/x
  3. Step 3: Cross multiply
    5,583.33x = 7,705.22 × 3,344.76
  4. Step 4: Simplify right side
    5,583.33x = 25,772,111.65
  5. Step 5: Solve for x
    x = 25,772,111.65/5,583.33
  6. Step 6: Final answer
    x = 4,615.90

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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.