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Finding the Fourth Proportional to 3,611.32, 5,407.86 and 3,024.88

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Solution

The fourth proportional to 3,611.32, 5,407.86 and 3,024.88 is: 4,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.32 : 5,407.86 = 3,024.88 : x
  2. Step 2: Convert to fraction form
    3,611.32/5,407.86 = 3,024.88/x
  3. Step 3: Cross multiply
    3,611.32x = 5,407.86 × 3,024.88
  4. Step 4: Simplify right side
    3,611.32x = 16,358,127.56
  5. Step 5: Solve for x
    x = 16,358,127.56/3,611.32
  6. Step 6: Final answer
    x = 4,529.68

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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.