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Finding the Fourth Proportional to 5,710.70, 8,566.05 and 2,638.70

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Solution

The fourth proportional to 5,710.70, 8,566.05 and 2,638.70 is: 3,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.70 : 8,566.05 = 2,638.70 : x
  2. Step 2: Convert to fraction form
    5,710.70/8,566.05 = 2,638.70/x
  3. Step 3: Cross multiply
    5,710.70x = 8,566.05 × 2,638.70
  4. Step 4: Simplify right side
    5,710.70x = 22,603,236.14
  5. Step 5: Solve for x
    x = 22,603,236.14/5,710.70
  6. Step 6: Final answer
    x = 3,958.05

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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.