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Finding the Fourth Proportional to 3,768.02, 5,652.38 and 994.66

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Solution

The fourth proportional to 3,768.02, 5,652.38 and 994.66 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.02 : 5,652.38 = 994.66 : x
  2. Step 2: Convert to fraction form
    3,768.02/5,652.38 = 994.66/x
  3. Step 3: Cross multiply
    3,768.02x = 5,652.38 × 994.66
  4. Step 4: Simplify right side
    3,768.02x = 5,622,196.29
  5. Step 5: Solve for x
    x = 5,622,196.29/3,768.02
  6. Step 6: Final answer
    x = 1,492.08

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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.