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Finding the Fourth Proportional to 4,094.60, 5,738.20 and 4,094.60

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Solution

The fourth proportional to 4,094.60, 5,738.20 and 4,094.60 is: 5,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.60 : 5,738.20 = 4,094.60 : x
  2. Step 2: Convert to fraction form
    4,094.60/5,738.20 = 4,094.60/x
  3. Step 3: Cross multiply
    4,094.60x = 5,738.20 × 4,094.60
  4. Step 4: Simplify right side
    4,094.60x = 23,495,633.72
  5. Step 5: Solve for x
    x = 23,495,633.72/4,094.60
  6. Step 6: Final answer
    x = 5,738.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.