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Finding the Fourth Proportional to 5,583.14, 7,701.93 and 3,814.82

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Solution

The fourth proportional to 5,583.14, 7,701.93 and 3,814.82 is: 5,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.14 : 7,701.93 = 3,814.82 : x
  2. Step 2: Convert to fraction form
    5,583.14/7,701.93 = 3,814.82/x
  3. Step 3: Cross multiply
    5,583.14x = 7,701.93 × 3,814.82
  4. Step 4: Simplify right side
    5,583.14x = 29,381,476.60
  5. Step 5: Solve for x
    x = 29,381,476.60/5,583.14
  6. Step 6: Final answer
    x = 5,262.54

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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.