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Finding the Fourth Proportional to 3,770.64, 5,202.92 and 2,114.32

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Solution

The fourth proportional to 3,770.64, 5,202.92 and 2,114.32 is: 2,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.64 : 5,202.92 = 2,114.32 : x
  2. Step 2: Convert to fraction form
    3,770.64/5,202.92 = 2,114.32/x
  3. Step 3: Cross multiply
    3,770.64x = 5,202.92 × 2,114.32
  4. Step 4: Simplify right side
    3,770.64x = 11,000,637.81
  5. Step 5: Solve for x
    x = 11,000,637.81/3,770.64
  6. Step 6: Final answer
    x = 2,917.45

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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.