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Finding the Fourth Proportional to 3,659.72, 5,489.60 and 886.40

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Solution

The fourth proportional to 3,659.72, 5,489.60 and 886.40 is: 1,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.72 : 5,489.60 = 886.40 : x
  2. Step 2: Convert to fraction form
    3,659.72/5,489.60 = 886.40/x
  3. Step 3: Cross multiply
    3,659.72x = 5,489.60 × 886.40
  4. Step 4: Simplify right side
    3,659.72x = 4,865,956.21
  5. Step 5: Solve for x
    x = 4,865,956.21/3,659.72
  6. Step 6: Final answer
    x = 1,329.60

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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.