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Finding the Fourth Proportional to 3,740.94, 5,157.71 and 3,066.26

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Solution

The fourth proportional to 3,740.94, 5,157.71 and 3,066.26 is: 4,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.94 : 5,157.71 = 3,066.26 : x
  2. Step 2: Convert to fraction form
    3,740.94/5,157.71 = 3,066.26/x
  3. Step 3: Cross multiply
    3,740.94x = 5,157.71 × 3,066.26
  4. Step 4: Simplify right side
    3,740.94x = 15,814,893.76
  5. Step 5: Solve for x
    x = 15,814,893.76/3,740.94
  6. Step 6: Final answer
    x = 4,227.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.