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Finding the Fourth Proportional to 5,510.64, 8,266.80 and 3,829.20

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Solution

The fourth proportional to 5,510.64, 8,266.80 and 3,829.20 is: 5,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.64 : 8,266.80 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    5,510.64/8,266.80 = 3,829.20/x
  3. Step 3: Cross multiply
    5,510.64x = 8,266.80 × 3,829.20
  4. Step 4: Simplify right side
    5,510.64x = 31,655,230.56
  5. Step 5: Solve for x
    x = 31,655,230.56/5,510.64
  6. Step 6: Final answer
    x = 5,744.38

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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.