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Finding the Fourth Proportional to 3,447.74, 5,171.64 and 1,598.33

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Solution

The fourth proportional to 3,447.74, 5,171.64 and 1,598.33 is: 2,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.74 : 5,171.64 = 1,598.33 : x
  2. Step 2: Convert to fraction form
    3,447.74/5,171.64 = 1,598.33/x
  3. Step 3: Cross multiply
    3,447.74x = 5,171.64 × 1,598.33
  4. Step 4: Simplify right side
    3,447.74x = 8,265,987.36
  5. Step 5: Solve for x
    x = 8,265,987.36/3,447.74
  6. Step 6: Final answer
    x = 2,397.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.