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Finding the Fourth Proportional to 4,611.92, 6,913.08 and 3,454.16

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Solution

The fourth proportional to 4,611.92, 6,913.08 and 3,454.16 is: 5,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.92 : 6,913.08 = 3,454.16 : x
  2. Step 2: Convert to fraction form
    4,611.92/6,913.08 = 3,454.16/x
  3. Step 3: Cross multiply
    4,611.92x = 6,913.08 × 3,454.16
  4. Step 4: Simplify right side
    4,611.92x = 23,878,884.41
  5. Step 5: Solve for x
    x = 23,878,884.41/4,611.92
  6. Step 6: Final answer
    x = 5,177.64

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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.