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Finding the Fourth Proportional to 4,042.60, 5,451.75 and 4,042.60

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Solution

The fourth proportional to 4,042.60, 5,451.75 and 4,042.60 is: 5,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.60 : 5,451.75 = 4,042.60 : x
  2. Step 2: Convert to fraction form
    4,042.60/5,451.75 = 4,042.60/x
  3. Step 3: Cross multiply
    4,042.60x = 5,451.75 × 4,042.60
  4. Step 4: Simplify right side
    4,042.60x = 22,039,244.55
  5. Step 5: Solve for x
    x = 22,039,244.55/4,042.60
  6. Step 6: Final answer
    x = 5,451.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.