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Finding the Fourth Proportional to 5,817.66, 8,030.70 and 3,580.44

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Solution

The fourth proportional to 5,817.66, 8,030.70 and 3,580.44 is: 4,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.66 : 8,030.70 = 3,580.44 : x
  2. Step 2: Convert to fraction form
    5,817.66/8,030.70 = 3,580.44/x
  3. Step 3: Cross multiply
    5,817.66x = 8,030.70 × 3,580.44
  4. Step 4: Simplify right side
    5,817.66x = 28,753,439.51
  5. Step 5: Solve for x
    x = 28,753,439.51/5,817.66
  6. Step 6: Final answer
    x = 4,942.44

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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.