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Finding the Fourth Proportional to 3,660.29, 5,490.44 and 886.96

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Solution

The fourth proportional to 3,660.29, 5,490.44 and 886.96 is: 1,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.29 : 5,490.44 = 886.96 : x
  2. Step 2: Convert to fraction form
    3,660.29/5,490.44 = 886.96/x
  3. Step 3: Cross multiply
    3,660.29x = 5,490.44 × 886.96
  4. Step 4: Simplify right side
    3,660.29x = 4,869,782.50
  5. Step 5: Solve for x
    x = 4,869,782.50/3,660.29
  6. Step 6: Final answer
    x = 1,330.44

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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.