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Finding the Fourth Proportional to 5,931.20, 8,896.80 and 2,859.20

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Solution

The fourth proportional to 5,931.20, 8,896.80 and 2,859.20 is: 4,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.20 : 8,896.80 = 2,859.20 : x
  2. Step 2: Convert to fraction form
    5,931.20/8,896.80 = 2,859.20/x
  3. Step 3: Cross multiply
    5,931.20x = 8,896.80 × 2,859.20
  4. Step 4: Simplify right side
    5,931.20x = 25,437,730.56
  5. Step 5: Solve for x
    x = 25,437,730.56/5,931.20
  6. Step 6: Final answer
    x = 4,288.80

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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.