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Finding the Fourth Proportional to 5,448.40, 8,156.40 and 4,865.20

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Solution

The fourth proportional to 5,448.40, 8,156.40 and 4,865.20 is: 7,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.40 : 8,156.40 = 4,865.20 : x
  2. Step 2: Convert to fraction form
    5,448.40/8,156.40 = 4,865.20/x
  3. Step 3: Cross multiply
    5,448.40x = 8,156.40 × 4,865.20
  4. Step 4: Simplify right side
    5,448.40x = 39,682,517.28
  5. Step 5: Solve for x
    x = 39,682,517.28/5,448.40
  6. Step 6: Final answer
    x = 7,283.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.