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Finding the Fourth Proportional to 3,853.93, 5,781.26 and 1,774.51

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Solution

The fourth proportional to 3,853.93, 5,781.26 and 1,774.51 is: 2,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.93 : 5,781.26 = 1,774.51 : x
  2. Step 2: Convert to fraction form
    3,853.93/5,781.26 = 1,774.51/x
  3. Step 3: Cross multiply
    3,853.93x = 5,781.26 × 1,774.51
  4. Step 4: Simplify right side
    3,853.93x = 10,258,903.68
  5. Step 5: Solve for x
    x = 10,258,903.68/3,853.93
  6. Step 6: Final answer
    x = 2,661.93

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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.