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Finding the Fourth Proportional to 4,243.15, 5,856.15 and 2,564.80

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Solution

The fourth proportional to 4,243.15, 5,856.15 and 2,564.80 is: 3,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.15 : 5,856.15 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    4,243.15/5,856.15 = 2,564.80/x
  3. Step 3: Cross multiply
    4,243.15x = 5,856.15 × 2,564.80
  4. Step 4: Simplify right side
    4,243.15x = 15,019,853.52
  5. Step 5: Solve for x
    x = 15,019,853.52/4,243.15
  6. Step 6: Final answer
    x = 3,539.79

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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.