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Finding the Fourth Proportional to 4,859.20, 7,288.80 and 4,340.80

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Solution

The fourth proportional to 4,859.20, 7,288.80 and 4,340.80 is: 6,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.20 : 7,288.80 = 4,340.80 : x
  2. Step 2: Convert to fraction form
    4,859.20/7,288.80 = 4,340.80/x
  3. Step 3: Cross multiply
    4,859.20x = 7,288.80 × 4,340.80
  4. Step 4: Simplify right side
    4,859.20x = 31,639,223.04
  5. Step 5: Solve for x
    x = 31,639,223.04/4,859.20
  6. Step 6: Final answer
    x = 6,511.20

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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.