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Finding the Fourth Proportional to 5,710.34, 8,565.87 and 2,200.37

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Solution

The fourth proportional to 5,710.34, 8,565.87 and 2,200.37 is: 3,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.34 : 8,565.87 = 2,200.37 : x
  2. Step 2: Convert to fraction form
    5,710.34/8,565.87 = 2,200.37/x
  3. Step 3: Cross multiply
    5,710.34x = 8,565.87 × 2,200.37
  4. Step 4: Simplify right side
    5,710.34x = 18,848,040.54
  5. Step 5: Solve for x
    x = 18,848,040.54/5,710.34
  6. Step 6: Final answer
    x = 3,300.68

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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.