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Finding the Fourth Proportional to 3,768.53, 5,652.30 and 995.42

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Solution

The fourth proportional to 3,768.53, 5,652.30 and 995.42 is: 1,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.53 : 5,652.30 = 995.42 : x
  2. Step 2: Convert to fraction form
    3,768.53/5,652.30 = 995.42/x
  3. Step 3: Cross multiply
    3,768.53x = 5,652.30 × 995.42
  4. Step 4: Simplify right side
    3,768.53x = 5,626,412.47
  5. Step 5: Solve for x
    x = 5,626,412.47/3,768.53
  6. Step 6: Final answer
    x = 1,493.00

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1.5x scale

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.