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Finding the Fourth Proportional to 5,841.79, 8,764.08 and 1,946.23

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Solution

The fourth proportional to 5,841.79, 8,764.08 and 1,946.23 is: 2,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.79 : 8,764.08 = 1,946.23 : x
  2. Step 2: Convert to fraction form
    5,841.79/8,764.08 = 1,946.23/x
  3. Step 3: Cross multiply
    5,841.79x = 8,764.08 × 1,946.23
  4. Step 4: Simplify right side
    5,841.79x = 17,056,915.42
  5. Step 5: Solve for x
    x = 17,056,915.42/5,841.79
  6. Step 6: Final answer
    x = 2,919.81

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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.