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Finding the Fourth Proportional to 5,735.04, 7,913.89 and 3,182.88

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Solution

The fourth proportional to 5,735.04, 7,913.89 and 3,182.88 is: 4,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.04 : 7,913.89 = 3,182.88 : x
  2. Step 2: Convert to fraction form
    5,735.04/7,913.89 = 3,182.88/x
  3. Step 3: Cross multiply
    5,735.04x = 7,913.89 × 3,182.88
  4. Step 4: Simplify right side
    5,735.04x = 25,188,962.20
  5. Step 5: Solve for x
    x = 25,188,962.20/5,735.04
  6. Step 6: Final answer
    x = 4,392.12

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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.