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Finding the Fourth Proportional to 5,672.05, 7,829.46 and 3,283.10

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Solution

The fourth proportional to 5,672.05, 7,829.46 and 3,283.10 is: 4,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.05 : 7,829.46 = 3,283.10 : x
  2. Step 2: Convert to fraction form
    5,672.05/7,829.46 = 3,283.10/x
  3. Step 3: Cross multiply
    5,672.05x = 7,829.46 × 3,283.10
  4. Step 4: Simplify right side
    5,672.05x = 25,704,900.13
  5. Step 5: Solve for x
    x = 25,704,900.13/5,672.05
  6. Step 6: Final answer
    x = 4,531.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.