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Finding the Fourth Proportional to 3,713.64, 5,124.80 and 2,057.64

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Solution

The fourth proportional to 3,713.64, 5,124.80 and 2,057.64 is: 2,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.64 : 5,124.80 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    3,713.64/5,124.80 = 2,057.64/x
  3. Step 3: Cross multiply
    3,713.64x = 5,124.80 × 2,057.64
  4. Step 4: Simplify right side
    3,713.64x = 10,544,993.47
  5. Step 5: Solve for x
    x = 10,544,993.47/3,713.64
  6. Step 6: Final answer
    x = 2,839.53

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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.