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Finding the Fourth Proportional to 3,914.60, 5,840.69 and 3,402.60

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Solution

The fourth proportional to 3,914.60, 5,840.69 and 3,402.60 is: 5,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.60 : 5,840.69 = 3,402.60 : x
  2. Step 2: Convert to fraction form
    3,914.60/5,840.69 = 3,402.60/x
  3. Step 3: Cross multiply
    3,914.60x = 5,840.69 × 3,402.60
  4. Step 4: Simplify right side
    3,914.60x = 19,873,531.79
  5. Step 5: Solve for x
    x = 19,873,531.79/3,914.60
  6. Step 6: Final answer
    x = 5,076.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.