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Finding the Fourth Proportional to 3,829.62, 5,283.24 and 2,337.32

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Solution

The fourth proportional to 3,829.62, 5,283.24 and 2,337.32 is: 3,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.62 : 5,283.24 = 2,337.32 : x
  2. Step 2: Convert to fraction form
    3,829.62/5,283.24 = 2,337.32/x
  3. Step 3: Cross multiply
    3,829.62x = 5,283.24 × 2,337.32
  4. Step 4: Simplify right side
    3,829.62x = 12,348,622.52
  5. Step 5: Solve for x
    x = 12,348,622.52/3,829.62
  6. Step 6: Final answer
    x = 3,224.50

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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.